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

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


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

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

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

Solving
20 + 12x = -20 + 20x

Solving for variable 'x'.

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

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

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

Combine like terms: 20x + -20x = 0
20 + -8x = -20 + 0
20 + -8x = -20

Add '-20' to each side of the equation.
20 + -20 + -8x = -20 + -20

Combine like terms: 20 + -20 = 0
0 + -8x = -20 + -20
-8x = -20 + -20

Combine like terms: -20 + -20 = -40
-8x = -40

Divide each side by '-8'.
x = 5

Simplifying
x = 5

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