5(-1x+2)=-3(7x+2)+8x

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Solution for 5(-1x+2)=-3(7x+2)+8x equation:


Simplifying
5(-1x + 2) = -3(7x + 2) + 8x

Reorder the terms:
5(2 + -1x) = -3(7x + 2) + 8x
(2 * 5 + -1x * 5) = -3(7x + 2) + 8x
(10 + -5x) = -3(7x + 2) + 8x

Reorder the terms:
10 + -5x = -3(2 + 7x) + 8x
10 + -5x = (2 * -3 + 7x * -3) + 8x
10 + -5x = (-6 + -21x) + 8x

Combine like terms: -21x + 8x = -13x
10 + -5x = -6 + -13x

Solving
10 + -5x = -6 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
10 + -5x + 13x = -6 + -13x + 13x

Combine like terms: -5x + 13x = 8x
10 + 8x = -6 + -13x + 13x

Combine like terms: -13x + 13x = 0
10 + 8x = -6 + 0
10 + 8x = -6

Add '-10' to each side of the equation.
10 + -10 + 8x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 8x = -6 + -10
8x = -6 + -10

Combine like terms: -6 + -10 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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