6(x+8)+x=2(x+3)-2

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Solution for 6(x+8)+x=2(x+3)-2 equation: 


Simplifying
6(x + 8) + x = 2(x + 3) + -2

Reorder the terms:
6(8 + x) + x = 2(x + 3) + -2
(8 * 6 + x * 6) + x = 2(x + 3) + -2
(48 + 6x) + x = 2(x + 3) + -2

Combine like terms: 6x + x = 7x
48 + 7x = 2(x + 3) + -2

Reorder the terms:
48 + 7x = 2(3 + x) + -2
48 + 7x = (3 * 2 + x * 2) + -2
48 + 7x = (6 + 2x) + -2

Reorder the terms:
48 + 7x = 6 + -2 + 2x

Combine like terms: 6 + -2 = 4
48 + 7x = 4 + 2x

Solving
48 + 7x = 4 + 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.
48 + 7x + -2x = 4 + 2x + -2x

Combine like terms: 7x + -2x = 5x
48 + 5x = 4 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + 5x = 4 + 0
48 + 5x = 4

Add '-48' to each side of the equation.
48 + -48 + 5x = 4 + -48

Combine like terms: 48 + -48 = 0
0 + 5x = 4 + -48
5x = 4 + -48

Combine like terms: 4 + -48 = -44
5x = -44

Divide each side by '5'.
x = -8.8

Simplifying
x = -8.8

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