7(x+4)=-2(5x-5)+2x

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Solution for 7(x+4)=-2(5x-5)+2x equation:


Simplifying
7(x + 4) = -2(5x + -5) + 2x

Reorder the terms:
7(4 + x) = -2(5x + -5) + 2x
(4 * 7 + x * 7) = -2(5x + -5) + 2x
(28 + 7x) = -2(5x + -5) + 2x

Reorder the terms:
28 + 7x = -2(-5 + 5x) + 2x
28 + 7x = (-5 * -2 + 5x * -2) + 2x
28 + 7x = (10 + -10x) + 2x

Combine like terms: -10x + 2x = -8x
28 + 7x = 10 + -8x

Solving
28 + 7x = 10 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
28 + 7x + 8x = 10 + -8x + 8x

Combine like terms: 7x + 8x = 15x
28 + 15x = 10 + -8x + 8x

Combine like terms: -8x + 8x = 0
28 + 15x = 10 + 0
28 + 15x = 10

Add '-28' to each side of the equation.
28 + -28 + 15x = 10 + -28

Combine like terms: 28 + -28 = 0
0 + 15x = 10 + -28
15x = 10 + -28

Combine like terms: 10 + -28 = -18
15x = -18

Divide each side by '15'.
x = -1.2

Simplifying
x = -1.2

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