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

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


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

Reorder the terms:
3(4 + 2x) = 4(x + 5) + -8
(4 * 3 + 2x * 3) = 4(x + 5) + -8
(12 + 6x) = 4(x + 5) + -8

Reorder the terms:
12 + 6x = 4(5 + x) + -8
12 + 6x = (5 * 4 + x * 4) + -8
12 + 6x = (20 + 4x) + -8

Reorder the terms:
12 + 6x = 20 + -8 + 4x

Combine like terms: 20 + -8 = 12
12 + 6x = 12 + 4x

Add '-12' to each side of the equation.
12 + -12 + 6x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
0 + 6x = 12 + -12 + 4x
6x = 12 + -12 + 4x

Combine like terms: 12 + -12 = 0
6x = 0 + 4x
6x = 4x

Solving
6x = 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6x + -4x = 4x + -4x

Combine like terms: 6x + -4x = 2x
2x = 4x + -4x

Combine like terms: 4x + -4x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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