3(2x-4)-5(3-x)=39

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Solution for 3(2x-4)-5(3-x)=39 equation:


Simplifying
3(2x + -4) + -5(3 + -1x) = 39

Reorder the terms:
3(-4 + 2x) + -5(3 + -1x) = 39
(-4 * 3 + 2x * 3) + -5(3 + -1x) = 39
(-12 + 6x) + -5(3 + -1x) = 39
-12 + 6x + (3 * -5 + -1x * -5) = 39
-12 + 6x + (-15 + 5x) = 39

Reorder the terms:
-12 + -15 + 6x + 5x = 39

Combine like terms: -12 + -15 = -27
-27 + 6x + 5x = 39

Combine like terms: 6x + 5x = 11x
-27 + 11x = 39

Solving
-27 + 11x = 39

Solving for variable 'x'.

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

Add '27' to each side of the equation.
-27 + 27 + 11x = 39 + 27

Combine like terms: -27 + 27 = 0
0 + 11x = 39 + 27
11x = 39 + 27

Combine like terms: 39 + 27 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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