7(x+5)+7(x+5)=6x-6

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Solution for 7(x+5)+7(x+5)=6x-6 equation:


Simplifying
7(x + 5) + 7(x + 5) = 6x + -6

Reorder the terms:
7(5 + x) + 7(x + 5) = 6x + -6
(5 * 7 + x * 7) + 7(x + 5) = 6x + -6
(35 + 7x) + 7(x + 5) = 6x + -6

Reorder the terms:
35 + 7x + 7(5 + x) = 6x + -6
35 + 7x + (5 * 7 + x * 7) = 6x + -6
35 + 7x + (35 + 7x) = 6x + -6

Reorder the terms:
35 + 35 + 7x + 7x = 6x + -6

Combine like terms: 35 + 35 = 70
70 + 7x + 7x = 6x + -6

Combine like terms: 7x + 7x = 14x
70 + 14x = 6x + -6

Reorder the terms:
70 + 14x = -6 + 6x

Solving
70 + 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.
70 + 14x + -6x = -6 + 6x + -6x

Combine like terms: 14x + -6x = 8x
70 + 8x = -6 + 6x + -6x

Combine like terms: 6x + -6x = 0
70 + 8x = -6 + 0
70 + 8x = -6

Add '-70' to each side of the equation.
70 + -70 + 8x = -6 + -70

Combine like terms: 70 + -70 = 0
0 + 8x = -6 + -70
8x = -6 + -70

Combine like terms: -6 + -70 = -76
8x = -76

Divide each side by '8'.
x = -9.5

Simplifying
x = -9.5

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