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

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Solution for 6(x+7)+x=2(x+5)-2 equation: 


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

Reorder the terms:
6(7 + x) + x = 2(x + 5) + -2
(7 * 6 + x * 6) + x = 2(x + 5) + -2
(42 + 6x) + x = 2(x + 5) + -2

Combine like terms: 6x + x = 7x
42 + 7x = 2(x + 5) + -2

Reorder the terms:
42 + 7x = 2(5 + x) + -2
42 + 7x = (5 * 2 + x * 2) + -2
42 + 7x = (10 + 2x) + -2

Reorder the terms:
42 + 7x = 10 + -2 + 2x

Combine like terms: 10 + -2 = 8
42 + 7x = 8 + 2x

Solving
42 + 7x = 8 + 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.
42 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
42 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
42 + 5x = 8 + 0
42 + 5x = 8

Add '-42' to each side of the equation.
42 + -42 + 5x = 8 + -42

Combine like terms: 42 + -42 = 0
0 + 5x = 8 + -42
5x = 8 + -42

Combine like terms: 8 + -42 = -34
5x = -34

Divide each side by '5'.
x = -6.8

Simplifying
x = -6.8

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