(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)

Remove parenthesis around (6 + 3x)
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 = 14
-2x = 14

Divide each side by '-2'.
x = -7

Simplifying
x = -7

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