8(x+6)+x=2(x+2)+7

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Solution for 8(x+6)+x=2(x+2)+7 equation: 


Simplifying
8(x + 6) + x = 2(x + 2) + 7

Reorder the terms:
8(6 + x) + x = 2(x + 2) + 7
(6 * 8 + x * 8) + x = 2(x + 2) + 7
(48 + 8x) + x = 2(x + 2) + 7

Combine like terms: 8x + x = 9x
48 + 9x = 2(x + 2) + 7

Reorder the terms:
48 + 9x = 2(2 + x) + 7
48 + 9x = (2 * 2 + x * 2) + 7
48 + 9x = (4 + 2x) + 7

Reorder the terms:
48 + 9x = 4 + 7 + 2x

Combine like terms: 4 + 7 = 11
48 + 9x = 11 + 2x

Solving
48 + 9x = 11 + 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 = 11 + 2x + -2x

Combine like terms: 9x + -2x = 7x
48 + 7x = 11 + 2x + -2x

Combine like terms: 2x + -2x = 0
48 + 7x = 11 + 0
48 + 7x = 11

Add '-48' to each side of the equation.
48 + -48 + 7x = 11 + -48

Combine like terms: 48 + -48 = 0
0 + 7x = 11 + -48
7x = 11 + -48

Combine like terms: 11 + -48 = -37
7x = -37

Divide each side by '7'.
x = -5.285714286

Simplifying
x = -5.285714286

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