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

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


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

Reorder the terms:
5(-5 + 3x) = 2(2x + 3)
(-5 * 5 + 3x * 5) = 2(2x + 3)
(-25 + 15x) = 2(2x + 3)

Reorder the terms:
-25 + 15x = 2(3 + 2x)
-25 + 15x = (3 * 2 + 2x * 2)
-25 + 15x = (6 + 4x)

Solving
-25 + 15x = 6 + 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.
-25 + 15x + -4x = 6 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-25 + 11x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-25 + 11x = 6 + 0
-25 + 11x = 6

Add '25' to each side of the equation.
-25 + 25 + 11x = 6 + 25

Combine like terms: -25 + 25 = 0
0 + 11x = 6 + 25
11x = 6 + 25

Combine like terms: 6 + 25 = 31
11x = 31

Divide each side by '11'.
x = 2.818181818

Simplifying
x = 2.818181818

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