2(2x-1)-3(x-1)=8

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Solution for 2(2x-1)-3(x-1)=8 equation: 


Simplifying
2(2x + -1) + -3(x + -1) = 8

Reorder the terms:
2(-1 + 2x) + -3(x + -1) = 8
(-1 * 2 + 2x * 2) + -3(x + -1) = 8
(-2 + 4x) + -3(x + -1) = 8

Reorder the terms:
-2 + 4x + -3(-1 + x) = 8
-2 + 4x + (-1 * -3 + x * -3) = 8
-2 + 4x + (3 + -3x) = 8

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

Combine like terms: -2 + 3 = 1
1 + 4x + -3x = 8

Combine like terms: 4x + -3x = 1x
1 + 1x = 8

Solving
1 + 1x = 8

Solving for variable 'x'.

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

Add '-1' to each side of the equation.
1 + -1 + 1x = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 1x = 8 + -1
1x = 8 + -1

Combine like terms: 8 + -1 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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