2(4x+5)-3(x+6)=9x+8

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Solution for 2(4x+5)-3(x+6)=9x+8 equation: 


Simplifying
2(4x + 5) + -3(x + 6) = 9x + 8

Reorder the terms:
2(5 + 4x) + -3(x + 6) = 9x + 8
(5 * 2 + 4x * 2) + -3(x + 6) = 9x + 8
(10 + 8x) + -3(x + 6) = 9x + 8

Reorder the terms:
10 + 8x + -3(6 + x) = 9x + 8
10 + 8x + (6 * -3 + x * -3) = 9x + 8
10 + 8x + (-18 + -3x) = 9x + 8

Reorder the terms:
10 + -18 + 8x + -3x = 9x + 8

Combine like terms: 10 + -18 = -8
-8 + 8x + -3x = 9x + 8

Combine like terms: 8x + -3x = 5x
-8 + 5x = 9x + 8

Reorder the terms:
-8 + 5x = 8 + 9x

Solving
-8 + 5x = 8 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-8 + 5x + -9x = 8 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-8 + -4x = 8 + 9x + -9x

Combine like terms: 9x + -9x = 0
-8 + -4x = 8 + 0
-8 + -4x = 8

Add '8' to each side of the equation.
-8 + 8 + -4x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + -4x = 8 + 8
-4x = 8 + 8

Combine like terms: 8 + 8 = 16
-4x = 16

Divide each side by '-4'.
x = -4

Simplifying
x = -4

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