5(x-3)=13-6x

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Solution for 5(x-3)=13-6x equation:


Simplifying
5(x + -3) = 13 + -6x

Reorder the terms:
5(-3 + x) = 13 + -6x
(-3 * 5 + x * 5) = 13 + -6x
(-15 + 5x) = 13 + -6x

Solving
-15 + 5x = 13 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-15 + 5x + 6x = 13 + -6x + 6x

Combine like terms: 5x + 6x = 11x
-15 + 11x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
-15 + 11x = 13 + 0
-15 + 11x = 13

Add '15' to each side of the equation.
-15 + 15 + 11x = 13 + 15

Combine like terms: -15 + 15 = 0
0 + 11x = 13 + 15
11x = 13 + 15

Combine like terms: 13 + 15 = 28
11x = 28

Divide each side by '11'.
x = 2.545454545

Simplifying
x = 2.545454545

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