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

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


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

Reorder the terms:
8(9 + x) + x = 3(x + 2) + 7
(9 * 8 + x * 8) + x = 3(x + 2) + 7
(72 + 8x) + x = 3(x + 2) + 7

Combine like terms: 8x + x = 9x
72 + 9x = 3(x + 2) + 7

Reorder the terms:
72 + 9x = 3(2 + x) + 7
72 + 9x = (2 * 3 + x * 3) + 7
72 + 9x = (6 + 3x) + 7

Reorder the terms:
72 + 9x = 6 + 7 + 3x

Combine like terms: 6 + 7 = 13
72 + 9x = 13 + 3x

Solving
72 + 9x = 13 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
72 + 9x + -3x = 13 + 3x + -3x

Combine like terms: 9x + -3x = 6x
72 + 6x = 13 + 3x + -3x

Combine like terms: 3x + -3x = 0
72 + 6x = 13 + 0
72 + 6x = 13

Add '-72' to each side of the equation.
72 + -72 + 6x = 13 + -72

Combine like terms: 72 + -72 = 0
0 + 6x = 13 + -72
6x = 13 + -72

Combine like terms: 13 + -72 = -59
6x = -59

Divide each side by '6'.
x = -9.833333333

Simplifying
x = -9.833333333

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