5(7-6x)+2x=-6x-31

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Solution for 5(7-6x)+2x=-6x-31 equation:


Simplifying
5(7 + -6x) + 2x = -6x + -31
(7 * 5 + -6x * 5) + 2x = -6x + -31
(35 + -30x) + 2x = -6x + -31

Combine like terms: -30x + 2x = -28x
35 + -28x = -6x + -31

Reorder the terms:
35 + -28x = -31 + -6x

Solving
35 + -28x = -31 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
35 + -28x + 6x = -31 + -6x + 6x

Combine like terms: -28x + 6x = -22x
35 + -22x = -31 + -6x + 6x

Combine like terms: -6x + 6x = 0
35 + -22x = -31 + 0
35 + -22x = -31

Add '-35' to each side of the equation.
35 + -35 + -22x = -31 + -35

Combine like terms: 35 + -35 = 0
0 + -22x = -31 + -35
-22x = -31 + -35

Combine like terms: -31 + -35 = -66
-22x = -66

Divide each side by '-22'.
x = 3

Simplifying
x = 3

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