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

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


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

Reorder the terms:
-6 + 5x = x + 2x + 3(x + 4)

Reorder the terms:
-6 + 5x = x + 2x + 3(4 + x)
-6 + 5x = x + 2x + (4 * 3 + x * 3)
-6 + 5x = x + 2x + (12 + 3x)

Reorder the terms:
-6 + 5x = 12 + x + 2x + 3x

Combine like terms: x + 2x = 3x
-6 + 5x = 12 + 3x + 3x

Combine like terms: 3x + 3x = 6x
-6 + 5x = 12 + 6x

Solving
-6 + 5x = 12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-6 + 5x + -6x = 12 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-6 + -1x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
-6 + -1x = 12 + 0
-6 + -1x = 12

Add '6' to each side of the equation.
-6 + 6 + -1x = 12 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 12 + 6
-1x = 12 + 6

Combine like terms: 12 + 6 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

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