-10x+31=-7(1-4x)

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Solution for -10x+31=-7(1-4x) equation:


Simplifying
-10x + 31 = -7(1 + -4x)

Reorder the terms:
31 + -10x = -7(1 + -4x)
31 + -10x = (1 * -7 + -4x * -7)
31 + -10x = (-7 + 28x)

Solving
31 + -10x = -7 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
31 + -10x + -28x = -7 + 28x + -28x

Combine like terms: -10x + -28x = -38x
31 + -38x = -7 + 28x + -28x

Combine like terms: 28x + -28x = 0
31 + -38x = -7 + 0
31 + -38x = -7

Add '-31' to each side of the equation.
31 + -31 + -38x = -7 + -31

Combine like terms: 31 + -31 = 0
0 + -38x = -7 + -31
-38x = -7 + -31

Combine like terms: -7 + -31 = -38
-38x = -38

Divide each side by '-38'.
x = 1

Simplifying
x = 1

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