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

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


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

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

Reorder the terms:
-15 + 12x = 5(-5 + 2x)
-15 + 12x = (-5 * 5 + 2x * 5)
-15 + 12x = (-25 + 10x)

Solving
-15 + 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.
-15 + 12x + -10x = -25 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-15 + 2x = -25 + 10x + -10x

Combine like terms: 10x + -10x = 0
-15 + 2x = -25 + 0
-15 + 2x = -25

Add '15' to each side of the equation.
-15 + 15 + 2x = -25 + 15

Combine like terms: -15 + 15 = 0
0 + 2x = -25 + 15
2x = -25 + 15

Combine like terms: -25 + 15 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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