-2x+31=-3(4x-7)

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Solution for -2x+31=-3(4x-7) equation: 


Simplifying
-2x + 31 = -3(4x + -7)

Reorder the terms:
31 + -2x = -3(4x + -7)

Reorder the terms:
31 + -2x = -3(-7 + 4x)
31 + -2x = (-7 * -3 + 4x * -3)
31 + -2x = (21 + -12x)

Solving
31 + -2x = 21 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
31 + -2x + 12x = 21 + -12x + 12x

Combine like terms: -2x + 12x = 10x
31 + 10x = 21 + -12x + 12x

Combine like terms: -12x + 12x = 0
31 + 10x = 21 + 0
31 + 10x = 21

Add '-31' to each side of the equation.
31 + -31 + 10x = 21 + -31

Combine like terms: 31 + -31 = 0
0 + 10x = 21 + -31
10x = 21 + -31

Combine like terms: 21 + -31 = -10
10x = -10

Divide each side by '10'.
x = -1

Simplifying
x = -1

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