2(2x-3)-2=2(x-3)+8

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Solution for 2(2x-3)-2=2(x-3)+8 equation:


Simplifying
2(2x + -3) + -2 = 2(x + -3) + 8

Reorder the terms:
2(-3 + 2x) + -2 = 2(x + -3) + 8
(-3 * 2 + 2x * 2) + -2 = 2(x + -3) + 8
(-6 + 4x) + -2 = 2(x + -3) + 8

Reorder the terms:
-6 + -2 + 4x = 2(x + -3) + 8

Combine like terms: -6 + -2 = -8
-8 + 4x = 2(x + -3) + 8

Reorder the terms:
-8 + 4x = 2(-3 + x) + 8
-8 + 4x = (-3 * 2 + x * 2) + 8
-8 + 4x = (-6 + 2x) + 8

Reorder the terms:
-8 + 4x = -6 + 8 + 2x

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

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

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

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 2 + 8

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

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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