7(x+9)+x=2(x+3)-8

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Solution for 7(x+9)+x=2(x+3)-8 equation:


Simplifying
7(x + 9) + x = 2(x + 3) + -8

Reorder the terms:
7(9 + x) + x = 2(x + 3) + -8
(9 * 7 + x * 7) + x = 2(x + 3) + -8
(63 + 7x) + x = 2(x + 3) + -8

Combine like terms: 7x + x = 8x
63 + 8x = 2(x + 3) + -8

Reorder the terms:
63 + 8x = 2(3 + x) + -8
63 + 8x = (3 * 2 + x * 2) + -8
63 + 8x = (6 + 2x) + -8

Reorder the terms:
63 + 8x = 6 + -8 + 2x

Combine like terms: 6 + -8 = -2
63 + 8x = -2 + 2x

Solving
63 + 8x = -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.
63 + 8x + -2x = -2 + 2x + -2x

Combine like terms: 8x + -2x = 6x
63 + 6x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
63 + 6x = -2 + 0
63 + 6x = -2

Add '-63' to each side of the equation.
63 + -63 + 6x = -2 + -63

Combine like terms: 63 + -63 = 0
0 + 6x = -2 + -63
6x = -2 + -63

Combine like terms: -2 + -63 = -65
6x = -65

Divide each side by '6'.
x = -10.83333333

Simplifying
x = -10.83333333

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