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

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


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

Reorder the terms:
7(7 + x) + 7 = 2(x + -6)
(7 * 7 + x * 7) + 7 = 2(x + -6)
(49 + 7x) + 7 = 2(x + -6)

Reorder the terms:
49 + 7 + 7x = 2(x + -6)

Combine like terms: 49 + 7 = 56
56 + 7x = 2(x + -6)

Reorder the terms:
56 + 7x = 2(-6 + x)
56 + 7x = (-6 * 2 + x * 2)
56 + 7x = (-12 + 2x)

Solving
56 + 7x = -12 + 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.
56 + 7x + -2x = -12 + 2x + -2x

Combine like terms: 7x + -2x = 5x
56 + 5x = -12 + 2x + -2x

Combine like terms: 2x + -2x = 0
56 + 5x = -12 + 0
56 + 5x = -12

Add '-56' to each side of the equation.
56 + -56 + 5x = -12 + -56

Combine like terms: 56 + -56 = 0
0 + 5x = -12 + -56
5x = -12 + -56

Combine like terms: -12 + -56 = -68
5x = -68

Divide each side by '5'.
x = -13.6

Simplifying
x = -13.6

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