2x-2(x-1)=3(x-2)+7

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Solution for 2x-2(x-1)=3(x-2)+7 equation: 


Simplifying
2x + -2(x + -1) = 3(x + -2) + 7

Reorder the terms:
2x + -2(-1 + x) = 3(x + -2) + 7
2x + (-1 * -2 + x * -2) = 3(x + -2) + 7
2x + (2 + -2x) = 3(x + -2) + 7

Reorder the terms:
2 + 2x + -2x = 3(x + -2) + 7

Combine like terms: 2x + -2x = 0
2 + 0 = 3(x + -2) + 7
2 = 3(x + -2) + 7

Reorder the terms:
2 = 3(-2 + x) + 7
2 = (-2 * 3 + x * 3) + 7
2 = (-6 + 3x) + 7

Reorder the terms:
2 = -6 + 7 + 3x

Combine like terms: -6 + 7 = 1
2 = 1 + 3x

Solving
2 = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -3x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -3x = 1 + 0
2 + -3x = 1

Add '-2' to each side of the equation.
2 + -2 + -3x = 1 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 1 + -2
-3x = 1 + -2

Combine like terms: 1 + -2 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333

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