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

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


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

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

Reorder the terms:
12 + 15x = -5(-4 + 2x)
12 + 15x = (-4 * -5 + 2x * -5)
12 + 15x = (20 + -10x)

Solving
12 + 15x = 20 + -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.
12 + 15x + 10x = 20 + -10x + 10x

Combine like terms: 15x + 10x = 25x
12 + 25x = 20 + -10x + 10x

Combine like terms: -10x + 10x = 0
12 + 25x = 20 + 0
12 + 25x = 20

Add '-12' to each side of the equation.
12 + -12 + 25x = 20 + -12

Combine like terms: 12 + -12 = 0
0 + 25x = 20 + -12
25x = 20 + -12

Combine like terms: 20 + -12 = 8
25x = 8

Divide each side by '25'.
x = 0.32

Simplifying
x = 0.32

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