-3(2x-5)=14-4(3-4x)

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Solution for -3(2x-5)=14-4(3-4x) equation: 


Simplifying
-3(2x + -5) = 14 + -4(3 + -4x)

Reorder the terms:
-3(-5 + 2x) = 14 + -4(3 + -4x)
(-5 * -3 + 2x * -3) = 14 + -4(3 + -4x)
(15 + -6x) = 14 + -4(3 + -4x)
15 + -6x = 14 + (3 * -4 + -4x * -4)
15 + -6x = 14 + (-12 + 16x)

Combine like terms: 14 + -12 = 2
15 + -6x = 2 + 16x

Solving
15 + -6x = 2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
15 + -6x + -16x = 2 + 16x + -16x

Combine like terms: -6x + -16x = -22x
15 + -22x = 2 + 16x + -16x

Combine like terms: 16x + -16x = 0
15 + -22x = 2 + 0
15 + -22x = 2

Add '-15' to each side of the equation.
15 + -15 + -22x = 2 + -15

Combine like terms: 15 + -15 = 0
0 + -22x = 2 + -15
-22x = 2 + -15

Combine like terms: 2 + -15 = -13
-22x = -13

Divide each side by '-22'.
x = 0.5909090909

Simplifying
x = 0.5909090909

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