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

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


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

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

Combine like terms: 8x + x = 9x
48 + 9x = 2(x + 3) + -8

Reorder the terms:
48 + 9x = 2(3 + x) + -8
48 + 9x = (3 * 2 + x * 2) + -8
48 + 9x = (6 + 2x) + -8

Reorder the terms:
48 + 9x = 6 + -8 + 2x

Combine like terms: 6 + -8 = -2
48 + 9x = -2 + 2x

Solving
48 + 9x = -2 + 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 + 9x + -2x = -2 + 2x + -2x

Combine like terms: 9x + -2x = 7x
48 + 7x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + 7x = -2 + 0
48 + 7x = -2

Add '-48' to each side of the equation.
48 + -48 + 7x = -2 + -48

Combine like terms: 48 + -48 = 0
0 + 7x = -2 + -48
7x = -2 + -48

Combine like terms: -2 + -48 = -50
7x = -50

Divide each side by '7'.
x = -7.142857143

Simplifying
x = -7.142857143

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