4(x-4)=14-2x

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Solution for 4(x-4)=14-2x equation:


Simplifying
4(x + -4) = 14 + -2x

Reorder the terms:
4(-4 + x) = 14 + -2x
(-4 * 4 + x * 4) = 14 + -2x
(-16 + 4x) = 14 + -2x

Solving
-16 + 4x = 14 + -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.
-16 + 4x + 2x = 14 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-16 + 6x = 14 + -2x + 2x

Combine like terms: -2x + 2x = 0
-16 + 6x = 14 + 0
-16 + 6x = 14

Add '16' to each side of the equation.
-16 + 16 + 6x = 14 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = 14 + 16
6x = 14 + 16

Combine like terms: 14 + 16 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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