4(2x-5)=2x+16

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Solution for 4(2x-5)=2x+16 equation:


Simplifying
4(2x + -5) = 2x + 16

Reorder the terms:
4(-5 + 2x) = 2x + 16
(-5 * 4 + 2x * 4) = 2x + 16
(-20 + 8x) = 2x + 16

Reorder the terms:
-20 + 8x = 16 + 2x

Solving
-20 + 8x = 16 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 8x + -2x = 16 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-20 + 6x = 16 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 6x = 16 + 0
-20 + 6x = 16

Add '20' to each side of the equation.
-20 + 20 + 6x = 16 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = 16 + 20
6x = 16 + 20

Combine like terms: 16 + 20 = 36
6x = 36

Divide each side by '6'.
x = 6

Simplifying
x = 6

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