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

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


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

Reorder the terms:
5(4 + 2x) = 8 + -3(x + -4)
(4 * 5 + 2x * 5) = 8 + -3(x + -4)
(20 + 10x) = 8 + -3(x + -4)

Reorder the terms:
20 + 10x = 8 + -3(-4 + x)
20 + 10x = 8 + (-4 * -3 + x * -3)
20 + 10x = 8 + (12 + -3x)

Combine like terms: 8 + 12 = 20
20 + 10x = 20 + -3x

Add '-20' to each side of the equation.
20 + -20 + 10x = 20 + -20 + -3x

Combine like terms: 20 + -20 = 0
0 + 10x = 20 + -20 + -3x
10x = 20 + -20 + -3x

Combine like terms: 20 + -20 = 0
10x = 0 + -3x
10x = -3x

Solving
10x = -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
10x + 3x = -3x + 3x

Combine like terms: 10x + 3x = 13x
13x = -3x + 3x

Combine like terms: -3x + 3x = 0
13x = 0

Divide each side by '13'.
x = 0

Simplifying
x = 0

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