40-x=7x-8

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


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

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

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

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

Combine like terms: 7x + -7x = 0
40 + -8x = -8 + 0
40 + -8x = -8

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

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

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

Divide each side by '-8'.
x = 6

Simplifying
x = 6

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