4(x-2)=10-2x

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Solution for 4(x-2)=10-2x equation:


Simplifying
4(x + -2) = 10 + -2x

Reorder the terms:
4(-2 + x) = 10 + -2x
(-2 * 4 + x * 4) = 10 + -2x
(-8 + 4x) = 10 + -2x

Solving
-8 + 4x = 10 + -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.
-8 + 4x + 2x = 10 + -2x + 2x

Combine like terms: 4x + 2x = 6x
-8 + 6x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 6x = 10 + 0
-8 + 6x = 10

Add '8' to each side of the equation.
-8 + 8 + 6x = 10 + 8

Combine like terms: -8 + 8 = 0
0 + 6x = 10 + 8
6x = 10 + 8

Combine like terms: 10 + 8 = 18
6x = 18

Divide each side by '6'.
x = 3

Simplifying
x = 3

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