3(3x-5)=2(10+2x)

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Solution for 3(3x-5)=2(10+2x) equation:


Simplifying
3(3x + -5) = 2(10 + 2x)

Reorder the terms:
3(-5 + 3x) = 2(10 + 2x)
(-5 * 3 + 3x * 3) = 2(10 + 2x)
(-15 + 9x) = 2(10 + 2x)
-15 + 9x = (10 * 2 + 2x * 2)
-15 + 9x = (20 + 4x)

Solving
-15 + 9x = 20 + 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 = 20 + 4x + -4x

Combine like terms: 9x + -4x = 5x
-15 + 5x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-15 + 5x = 20 + 0
-15 + 5x = 20

Add '15' to each side of the equation.
-15 + 15 + 5x = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 5x = 20 + 15
5x = 20 + 15

Combine like terms: 20 + 15 = 35
5x = 35

Divide each side by '5'.
x = 7

Simplifying
x = 7

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