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

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


Simplifying
4x + -2(8 + -2x) = x + 5
4x + (8 * -2 + -2x * -2) = x + 5
4x + (-16 + 4x) = x + 5

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

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

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

Solving
-16 + 8x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-16 + 8x + -1x = 5 + x + -1x

Combine like terms: 8x + -1x = 7x
-16 + 7x = 5 + x + -1x

Combine like terms: x + -1x = 0
-16 + 7x = 5 + 0
-16 + 7x = 5

Add '16' to each side of the equation.
-16 + 16 + 7x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 7x = 5 + 16
7x = 5 + 16

Combine like terms: 5 + 16 = 21
7x = 21

Divide each side by '7'.
x = 3

Simplifying
x = 3

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