8-2(7x+2)=31-5x

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Solution for 8-2(7x+2)=31-5x equation:


Simplifying
8 + -2(7x + 2) = 31 + -5x

Reorder the terms:
8 + -2(2 + 7x) = 31 + -5x
8 + (2 * -2 + 7x * -2) = 31 + -5x
8 + (-4 + -14x) = 31 + -5x

Combine like terms: 8 + -4 = 4
4 + -14x = 31 + -5x

Solving
4 + -14x = 31 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
4 + -14x + 5x = 31 + -5x + 5x

Combine like terms: -14x + 5x = -9x
4 + -9x = 31 + -5x + 5x

Combine like terms: -5x + 5x = 0
4 + -9x = 31 + 0
4 + -9x = 31

Add '-4' to each side of the equation.
4 + -4 + -9x = 31 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 31 + -4
-9x = 31 + -4

Combine like terms: 31 + -4 = 27
-9x = 27

Divide each side by '-9'.
x = -3

Simplifying
x = -3

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