Question

Solve the following equation. 4 - 7x 10 = 15 - 6x - 8

Answer 1

4-70=7-6x
-64-7=6x
-71=-6x
71/6=x

Answer 2

Answer:

x=7

Step-by-step explanation:

Simplifying

4 + -7x + 10 = 15 + -6x + -8

Reorder the terms:

4 + 10 + -7x = 15 + -6x + -8

Combine like terms: 4 + 10 = 14

14 + -7x = 15 + -6x + -8

Reorder the terms:

14 + -7x = 15 + -8 + -6x

Combine like terms: 15 + -8 = 7

14 + -7x = 7 + -6x

Solving

14 + -7x = 7 + -6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6x' to each side of the equation.

14 + -7x + 6x = 7 + -6x + 6x

Combine like terms: -7x + 6x = -1x

14 + -1x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0

14 + -1x = 7 + 0

14 + -1x = 7

Add '-14' to each side of the equation.

14 + -14 + -1x = 7 + -14

Combine like terms: 14 + -14 = 0

0 + -1x = 7 + -14

-1x = 7 + -14

Combine like terms: 7 + -14 = -7

-1x = -7

Divide each side by '-1'.

x =7

Simplifying

x = 7