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

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


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

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

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

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

Reorder the terms:
3 + -1x = 4(-3 + x)
3 + -1x = (-3 * 4 + x * 4)
3 + -1x = (-12 + 4x)

Solving
3 + -1x = -12 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + -1x + -4x = -12 + 4x + -4x

Combine like terms: -1x + -4x = -5x
3 + -5x = -12 + 4x + -4x

Combine like terms: 4x + -4x = 0
3 + -5x = -12 + 0
3 + -5x = -12

Add '-3' to each side of the equation.
3 + -3 + -5x = -12 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = -12 + -3
-5x = -12 + -3

Combine like terms: -12 + -3 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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