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

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


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

Reorder the terms:
4(5 + 3x) = -5(2x + -5)
(5 * 4 + 3x * 4) = -5(2x + -5)
(20 + 12x) = -5(2x + -5)

Reorder the terms:
20 + 12x = -5(-5 + 2x)
20 + 12x = (-5 * -5 + 2x * -5)
20 + 12x = (25 + -10x)

Solving
20 + 12x = 25 + -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.
20 + 12x + 10x = 25 + -10x + 10x

Combine like terms: 12x + 10x = 22x
20 + 22x = 25 + -10x + 10x

Combine like terms: -10x + 10x = 0
20 + 22x = 25 + 0
20 + 22x = 25

Add '-20' to each side of the equation.
20 + -20 + 22x = 25 + -20

Combine like terms: 20 + -20 = 0
0 + 22x = 25 + -20
22x = 25 + -20

Combine like terms: 25 + -20 = 5
22x = 5

Divide each side by '22'.
x = 0.2272727273

Simplifying
x = 0.2272727273

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