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

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


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

Reorder the terms:
4(-8 + 2x) = 3(2 + 2x)
(-8 * 4 + 2x * 4) = 3(2 + 2x)
(-32 + 8x) = 3(2 + 2x)
-32 + 8x = (2 * 3 + 2x * 3)
-32 + 8x = (6 + 6x)

Solving
-32 + 8x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-32 + 8x + -6x = 6 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-32 + 2x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
-32 + 2x = 6 + 0
-32 + 2x = 6

Add '32' to each side of the equation.
-32 + 32 + 2x = 6 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 6 + 32
2x = 6 + 32

Combine like terms: 6 + 32 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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