2x-3(x-4)=5(x-1)-1

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Solution for 2x-3(x-4)=5(x-1)-1 equation:


Simplifying
2x + -3(x + -4) = 5(x + -1) + -1

Reorder the terms:
2x + -3(-4 + x) = 5(x + -1) + -1
2x + (-4 * -3 + x * -3) = 5(x + -1) + -1
2x + (12 + -3x) = 5(x + -1) + -1

Reorder the terms:
12 + 2x + -3x = 5(x + -1) + -1

Combine like terms: 2x + -3x = -1x
12 + -1x = 5(x + -1) + -1

Reorder the terms:
12 + -1x = 5(-1 + x) + -1
12 + -1x = (-1 * 5 + x * 5) + -1
12 + -1x = (-5 + 5x) + -1

Reorder the terms:
12 + -1x = -5 + -1 + 5x

Combine like terms: -5 + -1 = -6
12 + -1x = -6 + 5x

Solving
12 + -1x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -1x + -5x = -6 + 5x + -5x

Combine like terms: -1x + -5x = -6x
12 + -6x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -6x = -6 + 0
12 + -6x = -6

Add '-12' to each side of the equation.
12 + -12 + -6x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -6 + -12
-6x = -6 + -12

Combine like terms: -6 + -12 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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