3(4x-9)=5(2x-5)

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Solution for 3(4x-9)=5(2x-5) equation:


Simplifying
3(4x + -9) = 5(2x + -5)

Reorder the terms:
3(-9 + 4x) = 5(2x + -5)
(-9 * 3 + 4x * 3) = 5(2x + -5)
(-27 + 12x) = 5(2x + -5)

Reorder the terms:
-27 + 12x = 5(-5 + 2x)
-27 + 12x = (-5 * 5 + 2x * 5)
-27 + 12x = (-25 + 10x)

Solving
-27 + 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.
-27 + 12x + -10x = -25 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-27 + 2x = -25 + 10x + -10x

Combine like terms: 10x + -10x = 0
-27 + 2x = -25 + 0
-27 + 2x = -25

Add '27' to each side of the equation.
-27 + 27 + 2x = -25 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = -25 + 27
2x = -25 + 27

Combine like terms: -25 + 27 = 2
2x = 2

Divide each side by '2'.
x = 1

Simplifying
x = 1

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