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

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


Simplifying
3(1 + -4x) = 5(2x + 3)
(1 * 3 + -4x * 3) = 5(2x + 3)
(3 + -12x) = 5(2x + 3)

Reorder the terms:
3 + -12x = 5(3 + 2x)
3 + -12x = (3 * 5 + 2x * 5)
3 + -12x = (15 + 10x)

Solving
3 + -12x = 15 + 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 = 15 + 10x + -10x

Combine like terms: -12x + -10x = -22x
3 + -22x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
3 + -22x = 15 + 0
3 + -22x = 15

Add '-3' to each side of the equation.
3 + -3 + -22x = 15 + -3

Combine like terms: 3 + -3 = 0
0 + -22x = 15 + -3
-22x = 15 + -3

Combine like terms: 15 + -3 = 12
-22x = 12

Divide each side by '-22'.
x = -0.5454545455

Simplifying
x = -0.5454545455

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