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

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


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

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

Combine like terms: 4x + x = 5x
-8 + 5x = 4x + 16

Reorder the terms:
-8 + 5x = 16 + 4x

Solving
-8 + 5x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-8 + 5x + -4x = 16 + 4x + -4x

Combine like terms: 5x + -4x = 1x
-8 + 1x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-8 + 1x = 16 + 0
-8 + 1x = 16

Add '8' to each side of the equation.
-8 + 8 + 1x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 16 + 8
1x = 16 + 8

Combine like terms: 16 + 8 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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