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 = 5
5 + 4x + -3x = 8

Combine like terms: 4x + -3x = 1x
5 + 1x = 8

Solving
5 + 1x = 8

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 1x = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 1x = 8 + -5
1x = 8 + -5

Combine like terms: 8 + -5 = 3
1x = 3

Divide each side by '1'.
x = 3

Simplifying
x = 3

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