3x-6=5(x+4)

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


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

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

Reorder the terms:
-6 + 3x = 5(4 + x)
-6 + 3x = (4 * 5 + x * 5)
-6 + 3x = (20 + 5x)

Solving
-6 + 3x = 20 + 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.
-6 + 3x + -5x = 20 + 5x + -5x

Combine like terms: 3x + -5x = -2x
-6 + -2x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-6 + -2x = 20 + 0
-6 + -2x = 20

Add '6' to each side of the equation.
-6 + 6 + -2x = 20 + 6

Combine like terms: -6 + 6 = 0
0 + -2x = 20 + 6
-2x = 20 + 6

Combine like terms: 20 + 6 = 26
-2x = 26

Divide each side by '-2'.
x = -13

Simplifying
x = -13

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