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

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


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

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

Remove parenthesis around (-1 + x)
-1 + x + -3(x + -4) = 5x + -3

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

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

Combine like terms: -1 + 12 = 11
11 + x + -3x = 5x + -3

Combine like terms: x + -3x = -2x
11 + -2x = 5x + -3

Reorder the terms:
11 + -2x = -3 + 5x

Solving
11 + -2x = -3 + 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.
11 + -2x + -5x = -3 + 5x + -5x

Combine like terms: -2x + -5x = -7x
11 + -7x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
11 + -7x = -3 + 0
11 + -7x = -3

Add '-11' to each side of the equation.
11 + -11 + -7x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -7x = -3 + -11
-7x = -3 + -11

Combine like terms: -3 + -11 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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