5(2x-4)=8(1+3x)

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Solution for 5(2x-4)=8(1+3x) equation:


Simplifying
5(2x + -4) = 8(1 + 3x)

Reorder the terms:
5(-4 + 2x) = 8(1 + 3x)
(-4 * 5 + 2x * 5) = 8(1 + 3x)
(-20 + 10x) = 8(1 + 3x)
-20 + 10x = (1 * 8 + 3x * 8)
-20 + 10x = (8 + 24x)

Solving
-20 + 10x = 8 + 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 + 10x + -24x = 8 + 24x + -24x

Combine like terms: 10x + -24x = -14x
-20 + -14x = 8 + 24x + -24x

Combine like terms: 24x + -24x = 0
-20 + -14x = 8 + 0
-20 + -14x = 8

Add '20' to each side of the equation.
-20 + 20 + -14x = 8 + 20

Combine like terms: -20 + 20 = 0
0 + -14x = 8 + 20
-14x = 8 + 20

Combine like terms: 8 + 20 = 28
-14x = 28

Divide each side by '-14'.
x = -2

Simplifying
x = -2

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