# 5x-8+40=7-x

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## Solution for 5x-8+40=7-x equation:

Simplifying
5x + -8 + 40 = 7 + -1x

Reorder the terms:
-8 + 40 + 5x = 7 + -1x

Combine like terms: -8 + 40 = 32
32 + 5x = 7 + -1x

Solving
32 + 5x = 7 + -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.
32 + 5x + x = 7 + -1x + x

Combine like terms: 5x + x = 6x
32 + 6x = 7 + -1x + x

Combine like terms: -1x + x = 0
32 + 6x = 7 + 0
32 + 6x = 7

Add '-32' to each side of the equation.
32 + -32 + 6x = 7 + -32

Combine like terms: 32 + -32 = 0
0 + 6x = 7 + -32
6x = 7 + -32

Combine like terms: 7 + -32 = -25
6x = -25

Divide each side by '6'.
x = -4.166666667

Simplifying
x = -4.166666667`