7x-8=-x+40

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Solution for 7x-8=-x+40 equation:


Simplifying
7x + -8 = -1x + 40

Reorder the terms:
-8 + 7x = -1x + 40

Reorder the terms:
-8 + 7x = 40 + -1x

Solving
-8 + 7x = 40 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-8 + 7x + x = 40 + -1x + x

Combine like terms: 7x + x = 8x
-8 + 8x = 40 + -1x + x

Combine like terms: -1x + x = 0
-8 + 8x = 40 + 0
-8 + 8x = 40

Add '8' to each side of the equation.
-8 + 8 + 8x = 40 + 8

Combine like terms: -8 + 8 = 0
0 + 8x = 40 + 8
8x = 40 + 8

Combine like terms: 40 + 8 = 48
8x = 48

Divide each side by '8'.
x = 6

Simplifying
x = 6

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