问题1.找到x的值：3x = 2x + 18
解决方案：
3x – 2x =18 (transposing 2x to LHS)
X = 18 (solution)
Verification — Put the value of x in the equation to verify our solution
3(18) = 2(18) + 18
54 = 36 + 18
54 = 54
LHS = RHS (so our value of x is correct)
问题2.找到t的值：5t – 3 = 3t – 5
解决方案：
5t – 3 – 3t = -5 (transposing 3t to LHS)
5t – 3t = -5 + 3 (transposing 3 to RHS)
2t = -2
t = -1 (solution)
Verification — Put the value of t in the equation to verify our solution
5(-1) – 3 = 3(-1) – 5
-5 – 3 = -3 – 5
-8 = -8
LHS = RHS (so our value of t is correct)
问题3.找到x的值： 5x + 9 = 5 + 3x
解决方案：
5x + 9 – 3x = 5 (transposing 3x to LHS)
5x – 3x = 5 – 9 (transposing 9 to RHS)
2x = -4
x = -2 (solution)
Verification -Put the value of x in the equation to verify our solution
5(-2) + 9 = 5 + 3(-2)
-10 + 9 = 5 -6
-1 = -1
LHS = RHS(so our value of x is correct)
问题4.查找z的值：4z + 3 = 6 + 2z
解决方案：
4z +3 – 2z =6 (transposing 2z to LHS)
4z – 2z = 6 – 3 (transposing 3 to RHS)
2z = 3
z = 3/2 (solution)
Verification — Put the value of z in the equation to verify our solution\
4(3/2) + 3 = 6 + 2(3/2)
6 + 3 = 6 + 3
9 = 9
LHS = RHS (so our value of z is correct)
问题5.找到x的值： 2x – 1 = 14 – x
解决方案：
2x – 1 + x = 14 (transposing x to LHS)
2x + x = 14 + 1 (transposing 1 to RHS)
3x = 15
x = 5 (solution)
Verification — Put the value of x in the equation to verify our solution
2(5) – 1 = 14 – 5
10 – 1 = 14 -5
9 = 9
LHS = RHS (so our value of x is correct)
问题6.找到x的值：8x + 4 = 3(x – 1)+ 7
解决方案：
8x + 4 = 3x – 3 + 7 (solving RHS)
8x + 4 – 3x = – 3 + 7 (transposing 3x to LHS)
8x – 3x = – 3 + 7– 4 (transposing 4 to RHS)
5x = 0
x = 0 (solution)
Verification — Put the value of x in the equation to verify our solution
8(0) +4 = 3(0-1) + 7
0 + 4 = -3 +7
4 = 4
LHS = RHS (so our value of x is correct)
问题7.找到x的值：x = 4/5(x + 10)
解决方案：
5x = 4 (x + 10)
5x = 4x + 40
5x – 4x = 40 (transposing 4x to LHS)
x = 40 (solution)
Verification — Put the value of x in the equation to verify our solution
40 = 4/5 ( 40 +10)
40 = 4(50)/5
40 = 40
LHS = RHS (so our value of x is correct)
问题8.找到x的值：2x / 3 +1 = 7x / 15 + 3
解决方案：
(2x + 3) / 3 = (7x + 45) / 15 (solving LHS and RHS)
15 (2x + 3) = 3 (7x + 45) (transposing 15 and 3 )
30x + 45 = 21x + 135 (solving brackets)
30x + 45 – 21x = 135 (transposing 21x to LHS)
30x – 21x = 135 – 45 (transposing 45 to RHS)
9x = 90
x = 10(solution)
Verification — Put the value of x in the equation to verify our solution
2(10)/3 + 1 = 7(10)/15 + 3
20/3 + 1 = 14/3 + 3
23/3 = 23/3
LHS = RHS (so our value of x is correct)
问题9.求y的值：2y + 5/3 = 26/3 – y
解决方案：
(6y + 5) / 3 = (26 – 3y) / 3(canceling 3 at denominator from both sides)
6y + 5 = 26 – 3y(solving brackets)
6y + 5 + 3y = 26 (transposing 3y to LHS)
9y = 26 – 5 (transposing 5 to RHS)
9y = 21
y = 7/3 (solution)
Verification — Put the value of y in the equation to verify our solution
2(7/3) + 5/3 = 26/3 – 7/3
(14 + 5)/3 = (26 – 7)/3
19/3 = 19/3
LHS = RHS (so our value of y is correct)
问题10.找到m的值：3m = 5m – 8/5
解决方案：
3m = 25m -8/5
15m = 25m – 8
15m – 25m = -8 (transposing 25m to LHS)
-10m = -8
m = 8/10 or m = 4/5 (solution)
Verification — Put the value of m in the equation to verify our solution
3(4/5) = 5(4/5) – 8/5
12/5 = 20/5 – 8/5
12/5 = 12/5
LHS = RHS (so our value of m is correct)