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

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


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

Reorder the terms:
5(-5 + 4x) = 3(4x + 5)
(-5 * 5 + 4x * 5) = 3(4x + 5)
(-25 + 20x) = 3(4x + 5)

Reorder the terms:
-25 + 20x = 3(5 + 4x)
-25 + 20x = (5 * 3 + 4x * 3)
-25 + 20x = (15 + 12x)

Solving
-25 + 20x = 15 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-25 + 20x + -12x = 15 + 12x + -12x

Combine like terms: 20x + -12x = 8x
-25 + 8x = 15 + 12x + -12x

Combine like terms: 12x + -12x = 0
-25 + 8x = 15 + 0
-25 + 8x = 15

Add '25' to each side of the equation.
-25 + 25 + 8x = 15 + 25

Combine like terms: -25 + 25 = 0
0 + 8x = 15 + 25
8x = 15 + 25

Combine like terms: 15 + 25 = 40
8x = 40

Divide each side by '8'.
x = 5

Simplifying
x = 5

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