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

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


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

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

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

Solving
-8 + 8x = 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.
-8 + 8x + -5x = 20 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-8 + 3x = 20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-8 + 3x = 20 + 0
-8 + 3x = 20

Add '8' to each side of the equation.
-8 + 8 + 3x = 20 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 20 + 8
3x = 20 + 8

Combine like terms: 20 + 8 = 28
3x = 28

Divide each side by '3'.
x = 9.333333333

Simplifying
x = 9.333333333

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