x-4(6-3x)=13+2x

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Solution for x-4(6-3x)=13+2x equation: 


Simplifying
x + -4(6 + -3x) = 13 + 2x
x + (6 * -4 + -3x * -4) = 13 + 2x
x + (-24 + 12x) = 13 + 2x

Reorder the terms:
-24 + x + 12x = 13 + 2x

Combine like terms: x + 12x = 13x
-24 + 13x = 13 + 2x

Solving
-24 + 13x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-24 + 13x + -2x = 13 + 2x + -2x

Combine like terms: 13x + -2x = 11x
-24 + 11x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + 11x = 13 + 0
-24 + 11x = 13

Add '24' to each side of the equation.
-24 + 24 + 11x = 13 + 24

Combine like terms: -24 + 24 = 0
0 + 11x = 13 + 24
11x = 13 + 24

Combine like terms: 13 + 24 = 37
11x = 37

Divide each side by '11'.
x = 3.363636364

Simplifying
x = 3.363636364

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