-3(4x-5)=2x+13

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Solution for -3(4x-5)=2x+13 equation:


Simplifying
-3(4x + -5) = 2x + 13

Reorder the terms:
-3(-5 + 4x) = 2x + 13
(-5 * -3 + 4x * -3) = 2x + 13
(15 + -12x) = 2x + 13

Reorder the terms:
15 + -12x = 13 + 2x

Solving
15 + -12x = 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.
15 + -12x + -2x = 13 + 2x + -2x

Combine like terms: -12x + -2x = -14x
15 + -14x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -14x = 13 + 0
15 + -14x = 13

Add '-15' to each side of the equation.
15 + -15 + -14x = 13 + -15

Combine like terms: 15 + -15 = 0
0 + -14x = 13 + -15
-14x = 13 + -15

Combine like terms: 13 + -15 = -2
-14x = -2

Divide each side by '-14'.
x = 0.1428571429

Simplifying
x = 0.1428571429

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