2(x-2)=2(-3x+10)

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Solution for 2(x-2)=2(-3x+10) equation:


Simplifying
2(x + -2) = 2(-3x + 10)

Reorder the terms:
2(-2 + x) = 2(-3x + 10)
(-2 * 2 + x * 2) = 2(-3x + 10)
(-4 + 2x) = 2(-3x + 10)

Reorder the terms:
-4 + 2x = 2(10 + -3x)
-4 + 2x = (10 * 2 + -3x * 2)
-4 + 2x = (20 + -6x)

Solving
-4 + 2x = 20 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4 + 2x + 6x = 20 + -6x + 6x

Combine like terms: 2x + 6x = 8x
-4 + 8x = 20 + -6x + 6x

Combine like terms: -6x + 6x = 0
-4 + 8x = 20 + 0
-4 + 8x = 20

Add '4' to each side of the equation.
-4 + 4 + 8x = 20 + 4

Combine like terms: -4 + 4 = 0
0 + 8x = 20 + 4
8x = 20 + 4

Combine like terms: 20 + 4 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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