3x-8=-7x+42

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Solution for 3x-8=-7x+42 equation:


Simplifying
3x + -8 = -7x + 42

Reorder the terms:
-8 + 3x = -7x + 42

Reorder the terms:
-8 + 3x = 42 + -7x

Solving
-8 + 3x = 42 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-8 + 3x + 7x = 42 + -7x + 7x

Combine like terms: 3x + 7x = 10x
-8 + 10x = 42 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 10x = 42 + 0
-8 + 10x = 42

Add '8' to each side of the equation.
-8 + 8 + 10x = 42 + 8

Combine like terms: -8 + 8 = 0
0 + 10x = 42 + 8
10x = 42 + 8

Combine like terms: 42 + 8 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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