2(4x-3)-3(x-1)=2

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Solution for 2(4x-3)-3(x-1)=2 equation:


Simplifying
2(4x + -3) + -3(x + -1) = 2

Reorder the terms:
2(-3 + 4x) + -3(x + -1) = 2
(-3 * 2 + 4x * 2) + -3(x + -1) = 2
(-6 + 8x) + -3(x + -1) = 2

Reorder the terms:
-6 + 8x + -3(-1 + x) = 2
-6 + 8x + (-1 * -3 + x * -3) = 2
-6 + 8x + (3 + -3x) = 2

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

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

Combine like terms: 8x + -3x = 5x
-3 + 5x = 2

Solving
-3 + 5x = 2

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 2 + 3

Combine like terms: -3 + 3 = 0
0 + 5x = 2 + 3
5x = 2 + 3

Combine like terms: 2 + 3 = 5
5x = 5

Divide each side by '5'.
x = 1

Simplifying
x = 1

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