5(x-1)+40=-2x

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Solution for 5(x-1)+40=-2x equation:


Simplifying
5(x + -1) + 40 = -2x

Reorder the terms:
5(-1 + x) + 40 = -2x
(-1 * 5 + x * 5) + 40 = -2x
(-5 + 5x) + 40 = -2x

Reorder the terms:
-5 + 40 + 5x = -2x

Combine like terms: -5 + 40 = 35
35 + 5x = -2x

Solving
35 + 5x = -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
35 + 5x + 2x = -2x + 2x

Combine like terms: 5x + 2x = 7x
35 + 7x = -2x + 2x

Combine like terms: -2x + 2x = 0
35 + 7x = 0

Add '-35' to each side of the equation.
35 + -35 + 7x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 7x = 0 + -35
7x = 0 + -35

Combine like terms: 0 + -35 = -35
7x = -35

Divide each side by '7'.
x = -5

Simplifying
x = -5

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