4(3x-5)-x=-x+6

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Solution for 4(3x-5)-x=-x+6 equation:


Simplifying
4(3x + -5) + -1x = -1x + 6

Reorder the terms:
4(-5 + 3x) + -1x = -1x + 6
(-5 * 4 + 3x * 4) + -1x = -1x + 6
(-20 + 12x) + -1x = -1x + 6

Combine like terms: 12x + -1x = 11x
-20 + 11x = -1x + 6

Reorder the terms:
-20 + 11x = 6 + -1x

Solving
-20 + 11x = 6 + -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.
-20 + 11x + x = 6 + -1x + x

Combine like terms: 11x + x = 12x
-20 + 12x = 6 + -1x + x

Combine like terms: -1x + x = 0
-20 + 12x = 6 + 0
-20 + 12x = 6

Add '20' to each side of the equation.
-20 + 20 + 12x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 12x = 6 + 20
12x = 6 + 20

Combine like terms: 6 + 20 = 26
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

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