5(4x+4)=4(6x-8)

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Solution for 5(4x+4)=4(6x-8) equation:


Simplifying
5(4x + 4) = 4(6x + -8)

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

Reorder the terms:
20 + 20x = 4(-8 + 6x)
20 + 20x = (-8 * 4 + 6x * 4)
20 + 20x = (-32 + 24x)

Solving
20 + 20x = -32 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
20 + 20x + -24x = -32 + 24x + -24x

Combine like terms: 20x + -24x = -4x
20 + -4x = -32 + 24x + -24x

Combine like terms: 24x + -24x = 0
20 + -4x = -32 + 0
20 + -4x = -32

Add '-20' to each side of the equation.
20 + -20 + -4x = -32 + -20

Combine like terms: 20 + -20 = 0
0 + -4x = -32 + -20
-4x = -32 + -20

Combine like terms: -32 + -20 = -52
-4x = -52

Divide each side by '-4'.
x = 13

Simplifying
x = 13

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