-3(4x+1)=5(2x-6)

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Solution for -3(4x+1)=5(2x-6) equation:


Simplifying
-3(4x + 1) = 5(2x + -6)

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

Reorder the terms:
-3 + -12x = 5(-6 + 2x)
-3 + -12x = (-6 * 5 + 2x * 5)
-3 + -12x = (-30 + 10x)

Solving
-3 + -12x = -30 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-3 + -12x + -10x = -30 + 10x + -10x

Combine like terms: -12x + -10x = -22x
-3 + -22x = -30 + 10x + -10x

Combine like terms: 10x + -10x = 0
-3 + -22x = -30 + 0
-3 + -22x = -30

Add '3' to each side of the equation.
-3 + 3 + -22x = -30 + 3

Combine like terms: -3 + 3 = 0
0 + -22x = -30 + 3
-22x = -30 + 3

Combine like terms: -30 + 3 = -27
-22x = -27

Divide each side by '-22'.
x = 1.227272727

Simplifying
x = 1.227272727

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