3x+5(2x-6)=13

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Solution for 3x+5(2x-6)=13 equation:


Simplifying
3x + 5(2x + -6) = 13

Reorder the terms:
3x + 5(-6 + 2x) = 13
3x + (-6 * 5 + 2x * 5) = 13
3x + (-30 + 10x) = 13

Reorder the terms:
-30 + 3x + 10x = 13

Combine like terms: 3x + 10x = 13x
-30 + 13x = 13

Solving
-30 + 13x = 13

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 13x = 13 + 30

Combine like terms: -30 + 30 = 0
0 + 13x = 13 + 30
13x = 13 + 30

Combine like terms: 13 + 30 = 43
13x = 43

Divide each side by '13'.
x = 3.307692308

Simplifying
x = 3.307692308

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