31-7x=-6x-8(x-3)

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Solution for 31-7x=-6x-8(x-3) equation:


Simplifying
31 + -7x = -6x + -8(x + -3)

Reorder the terms:
31 + -7x = -6x + -8(-3 + x)
31 + -7x = -6x + (-3 * -8 + x * -8)
31 + -7x = -6x + (24 + -8x)

Reorder the terms:
31 + -7x = 24 + -6x + -8x

Combine like terms: -6x + -8x = -14x
31 + -7x = 24 + -14x

Solving
31 + -7x = 24 + -14x

Solving for variable 'x'.

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

Add '14x' to each side of the equation.
31 + -7x + 14x = 24 + -14x + 14x

Combine like terms: -7x + 14x = 7x
31 + 7x = 24 + -14x + 14x

Combine like terms: -14x + 14x = 0
31 + 7x = 24 + 0
31 + 7x = 24

Add '-31' to each side of the equation.
31 + -31 + 7x = 24 + -31

Combine like terms: 31 + -31 = 0
0 + 7x = 24 + -31
7x = 24 + -31

Combine like terms: 24 + -31 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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