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

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


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

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

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

Reorder the terms:
-8 + 3 + 6x + -4x = 1 + -1x

Combine like terms: -8 + 3 = -5
-5 + 6x + -4x = 1 + -1x

Combine like terms: 6x + -4x = 2x
-5 + 2x = 1 + -1x

Solving
-5 + 2x = 1 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-5 + 2x + x = 1 + -1x + x

Combine like terms: 2x + x = 3x
-5 + 3x = 1 + -1x + x

Combine like terms: -1x + x = 0
-5 + 3x = 1 + 0
-5 + 3x = 1

Add '5' to each side of the equation.
-5 + 5 + 3x = 1 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 1 + 5
3x = 1 + 5

Combine like terms: 1 + 5 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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