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

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


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

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

Reorder the terms:
-9 + 12x = 5(5 + 2x)
-9 + 12x = (5 * 5 + 2x * 5)
-9 + 12x = (25 + 10x)

Solving
-9 + 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.
-9 + 12x + -10x = 25 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-9 + 2x = 25 + 10x + -10x

Combine like terms: 10x + -10x = 0
-9 + 2x = 25 + 0
-9 + 2x = 25

Add '9' to each side of the equation.
-9 + 9 + 2x = 25 + 9

Combine like terms: -9 + 9 = 0
0 + 2x = 25 + 9
2x = 25 + 9

Combine like terms: 25 + 9 = 34
2x = 34

Divide each side by '2'.
x = 17

Simplifying
x = 17

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