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

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


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

Reorder the terms:
3 + -2(6 + 3x) + 8x = 5(x + 6)
3 + (6 * -2 + 3x * -2) + 8x = 5(x + 6)
3 + (-12 + -6x) + 8x = 5(x + 6)

Combine like terms: 3 + -12 = -9
-9 + -6x + 8x = 5(x + 6)

Combine like terms: -6x + 8x = 2x
-9 + 2x = 5(x + 6)

Reorder the terms:
-9 + 2x = 5(6 + x)
-9 + 2x = (6 * 5 + x * 5)
-9 + 2x = (30 + 5x)

Solving
-9 + 2x = 30 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-9 + 2x + -5x = 30 + 5x + -5x

Combine like terms: 2x + -5x = -3x
-9 + -3x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-9 + -3x = 30 + 0
-9 + -3x = 30

Add '9' to each side of the equation.
-9 + 9 + -3x = 30 + 9

Combine like terms: -9 + 9 = 0
0 + -3x = 30 + 9
-3x = 30 + 9

Combine like terms: 30 + 9 = 39
-3x = 39

Divide each side by '-3'.
x = -13

Simplifying
x = -13

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