-3(4x-5)=13(3-x)

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Solution for -3(4x-5)=13(3-x) equation:


Simplifying
-3(4x + -5) = 13(3 + -1x)

Reorder the terms:
-3(-5 + 4x) = 13(3 + -1x)
(-5 * -3 + 4x * -3) = 13(3 + -1x)
(15 + -12x) = 13(3 + -1x)
15 + -12x = (3 * 13 + -1x * 13)
15 + -12x = (39 + -13x)

Solving
15 + -12x = 39 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
15 + -12x + 13x = 39 + -13x + 13x

Combine like terms: -12x + 13x = 1x
15 + 1x = 39 + -13x + 13x

Combine like terms: -13x + 13x = 0
15 + 1x = 39 + 0
15 + 1x = 39

Add '-15' to each side of the equation.
15 + -15 + 1x = 39 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 39 + -15
1x = 39 + -15

Combine like terms: 39 + -15 = 24
1x = 24

Divide each side by '1'.
x = 24

Simplifying
x = 24

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