4(2x+7)=-2(x-14)-2

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Solution for 4(2x+7)=-2(x-14)-2 equation:


Simplifying
4(2x + 7) = -2(x + -14) + -2

Reorder the terms:
4(7 + 2x) = -2(x + -14) + -2
(7 * 4 + 2x * 4) = -2(x + -14) + -2
(28 + 8x) = -2(x + -14) + -2

Reorder the terms:
28 + 8x = -2(-14 + x) + -2
28 + 8x = (-14 * -2 + x * -2) + -2
28 + 8x = (28 + -2x) + -2

Reorder the terms:
28 + 8x = 28 + -2 + -2x

Combine like terms: 28 + -2 = 26
28 + 8x = 26 + -2x

Solving
28 + 8x = 26 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
28 + 8x + 2x = 26 + -2x + 2x

Combine like terms: 8x + 2x = 10x
28 + 10x = 26 + -2x + 2x

Combine like terms: -2x + 2x = 0
28 + 10x = 26 + 0
28 + 10x = 26

Add '-28' to each side of the equation.
28 + -28 + 10x = 26 + -28

Combine like terms: 28 + -28 = 0
0 + 10x = 26 + -28
10x = 26 + -28

Combine like terms: 26 + -28 = -2
10x = -2

Divide each side by '10'.
x = -0.2

Simplifying
x = -0.2

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