2(x-3)=4-2(x-3)

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Solution for 2(x-3)=4-2(x-3) equation:


Simplifying
2(x + -3) = 4 + -2(x + -3)

Reorder the terms:
2(-3 + x) = 4 + -2(x + -3)
(-3 * 2 + x * 2) = 4 + -2(x + -3)
(-6 + 2x) = 4 + -2(x + -3)

Reorder the terms:
-6 + 2x = 4 + -2(-3 + x)
-6 + 2x = 4 + (-3 * -2 + x * -2)
-6 + 2x = 4 + (6 + -2x)

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

Solving
-6 + 2x = 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.
-6 + 2x + 2x = 10 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-6 + 4x = 10 + 0
-6 + 4x = 10

Add '6' to each side of the equation.
-6 + 6 + 4x = 10 + 6

Combine like terms: -6 + 6 = 0
0 + 4x = 10 + 6
4x = 10 + 6

Combine like terms: 10 + 6 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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