5(x-3)-4=12-x

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Solution for 5(x-3)-4=12-x equation:


Simplifying
5(x + -3) + -4 = 12 + -1x

Reorder the terms:
5(-3 + x) + -4 = 12 + -1x
(-3 * 5 + x * 5) + -4 = 12 + -1x
(-15 + 5x) + -4 = 12 + -1x

Reorder the terms:
-15 + -4 + 5x = 12 + -1x

Combine like terms: -15 + -4 = -19
-19 + 5x = 12 + -1x

Solving
-19 + 5x = 12 + -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.
-19 + 5x + x = 12 + -1x + x

Combine like terms: 5x + x = 6x
-19 + 6x = 12 + -1x + x

Combine like terms: -1x + x = 0
-19 + 6x = 12 + 0
-19 + 6x = 12

Add '19' to each side of the equation.
-19 + 19 + 6x = 12 + 19

Combine like terms: -19 + 19 = 0
0 + 6x = 12 + 19
6x = 12 + 19

Combine like terms: 12 + 19 = 31
6x = 31

Divide each side by '6'.
x = 5.166666667

Simplifying
x = 5.166666667

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