Question

Solving equations combining like terms (step by step)

1. 7m-5-13m=25
2. 12.25=0.5q+3.75
3. 2(2x-4)+x=7
4. 8=3(3x+8)-x
5. 3t-18t+4=-26
6. 13.75=0.25b+0.50

Answer 1

1.
7m-5-13m = 25
-5-6m = 25
-6m = -5

2.
12.25 = 0.5q+3.75
8.5 = 0.5q
17 = q

3.
2(2x-4)+x = 7
4x-8 = 7
5x-8 = 7
5x = 15

4.
8 = 3(3x=8)-x
8 = 9x+24-x
8 = 8x+24
-16 = 8x
-2 = x

5.
3t-18t+4 = -26
-15t+4 = -26
-15t = -30
t = 2

6.
13.75 = 0.25b+0.5
13.75 = 0.25b
53 = b