8(x+9)+x=4(x+4)+6

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Solution for 8(x+9)+x=4(x+4)+6 equation:


Simplifying
8(x + 9) + x = 4(x + 4) + 6

Reorder the terms:
8(9 + x) + x = 4(x + 4) + 6
(9 * 8 + x * 8) + x = 4(x + 4) + 6
(72 + 8x) + x = 4(x + 4) + 6

Combine like terms: 8x + x = 9x
72 + 9x = 4(x + 4) + 6

Reorder the terms:
72 + 9x = 4(4 + x) + 6
72 + 9x = (4 * 4 + x * 4) + 6
72 + 9x = (16 + 4x) + 6

Reorder the terms:
72 + 9x = 16 + 6 + 4x

Combine like terms: 16 + 6 = 22
72 + 9x = 22 + 4x

Solving
72 + 9x = 22 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
72 + 9x + -4x = 22 + 4x + -4x

Combine like terms: 9x + -4x = 5x
72 + 5x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
72 + 5x = 22 + 0
72 + 5x = 22

Add '-72' to each side of the equation.
72 + -72 + 5x = 22 + -72

Combine like terms: 72 + -72 = 0
0 + 5x = 22 + -72
5x = 22 + -72

Combine like terms: 22 + -72 = -50
5x = -50

Divide each side by '5'.
x = -10

Simplifying
x = -10

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