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

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


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

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

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

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

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

Combine like terms: -3 + -3 = -6
12 + 2x = -6 + 5x

Solving
12 + 2x = -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 + 2x + -5x = -6 + 5x + -5x

Combine like terms: 2x + -5x = -3x
12 + -3x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -3x = -6 + 0
12 + -3x = -6

Add '-12' to each side of the equation.
12 + -12 + -3x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -3x = -6 + -12
-3x = -6 + -12

Combine like terms: -6 + -12 = -18
-3x = -18

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

Simplifying
x = 6

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