7(x+2)+7(x+2)=6x-6

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Solution for 7(x+2)+7(x+2)=6x-6 equation:


Simplifying
7(x + 2) + 7(x + 2) = 6x + -6

Reorder the terms:
7(2 + x) + 7(x + 2) = 6x + -6
(2 * 7 + x * 7) + 7(x + 2) = 6x + -6
(14 + 7x) + 7(x + 2) = 6x + -6

Reorder the terms:
14 + 7x + 7(2 + x) = 6x + -6
14 + 7x + (2 * 7 + x * 7) = 6x + -6
14 + 7x + (14 + 7x) = 6x + -6

Reorder the terms:
14 + 14 + 7x + 7x = 6x + -6

Combine like terms: 14 + 14 = 28
28 + 7x + 7x = 6x + -6

Combine like terms: 7x + 7x = 14x
28 + 14x = 6x + -6

Reorder the terms:
28 + 14x = -6 + 6x

Solving
28 + 14x = -6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
28 + 14x + -6x = -6 + 6x + -6x

Combine like terms: 14x + -6x = 8x
28 + 8x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
28 + 8x = -6 + 0
28 + 8x = -6

Add '-28' to each side of the equation.
28 + -28 + 8x = -6 + -28

Combine like terms: 28 + -28 = 0
0 + 8x = -6 + -28
8x = -6 + -28

Combine like terms: -6 + -28 = -34
8x = -34

Divide each side by '8'.
x = -4.25

Simplifying
x = -4.25

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