-7x+31=-8(4x-7)

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Solution for -7x+31=-8(4x-7) equation: 


Simplifying
-7x + 31 = -8(4x + -7)

Reorder the terms:
31 + -7x = -8(4x + -7)

Reorder the terms:
31 + -7x = -8(-7 + 4x)
31 + -7x = (-7 * -8 + 4x * -8)
31 + -7x = (56 + -32x)

Solving
31 + -7x = 56 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
31 + -7x + 32x = 56 + -32x + 32x

Combine like terms: -7x + 32x = 25x
31 + 25x = 56 + -32x + 32x

Combine like terms: -32x + 32x = 0
31 + 25x = 56 + 0
31 + 25x = 56

Add '-31' to each side of the equation.
31 + -31 + 25x = 56 + -31

Combine like terms: 31 + -31 = 0
0 + 25x = 56 + -31
25x = 56 + -31

Combine like terms: 56 + -31 = 25
25x = 25

Divide each side by '25'.
x = 1

Simplifying
x = 1

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