6(x+10)+x=2(x+5)-2

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Solution for 6(x+10)+x=2(x+5)-2 equation: 


Simplifying
6(x + 10) + x = 2(x + 5) + -2

Reorder the terms:
6(10 + x) + x = 2(x + 5) + -2
(10 * 6 + x * 6) + x = 2(x + 5) + -2
(60 + 6x) + x = 2(x + 5) + -2

Combine like terms: 6x + x = 7x
60 + 7x = 2(x + 5) + -2

Reorder the terms:
60 + 7x = 2(5 + x) + -2
60 + 7x = (5 * 2 + x * 2) + -2
60 + 7x = (10 + 2x) + -2

Reorder the terms:
60 + 7x = 10 + -2 + 2x

Combine like terms: 10 + -2 = 8
60 + 7x = 8 + 2x

Solving
60 + 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.
60 + 7x + -2x = 8 + 2x + -2x

Combine like terms: 7x + -2x = 5x
60 + 5x = 8 + 2x + -2x

Combine like terms: 2x + -2x = 0
60 + 5x = 8 + 0
60 + 5x = 8

Add '-60' to each side of the equation.
60 + -60 + 5x = 8 + -60

Combine like terms: 60 + -60 = 0
0 + 5x = 8 + -60
5x = 8 + -60

Combine like terms: 8 + -60 = -52
5x = -52

Divide each side by '5'.
x = -10.4

Simplifying
x = -10.4

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