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

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


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

Reorder the terms:
3(-5 + 3x) = 2(2x + 5)
(-5 * 3 + 3x * 3) = 2(2x + 5)
(-15 + 9x) = 2(2x + 5)

Reorder the terms:
-15 + 9x = 2(5 + 2x)
-15 + 9x = (5 * 2 + 2x * 2)
-15 + 9x = (10 + 4x)

Solving
-15 + 9x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-15 + 9x + -4x = 10 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-15 + 5x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 5x = 10 + 0
-15 + 5x = 10

Add '15' to each side of the equation.
-15 + 15 + 5x = 10 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 10 + 15
5x = 10 + 15

Combine like terms: 10 + 15 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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