# 15x-5(2x-2)=3(3x-5)

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## Solution for 15x-5(2x-2)=3(3x-5) equation:

Simplifying
15x + -5(2x + -2) = 3(3x + -5)
Reorder the terms:
15x + -5(-2 + 2x) = 3(3x + -5)
15x + (-2 * -5 + 2x * -5) = 3(3x + -5)
15x + (10 + -10x) = 3(3x + -5)
Reorder the terms:
10 + 15x + -10x = 3(3x + -5)
Combine like terms: 15x + -10x = 5x
10 + 5x = 3(3x + -5)
Reorder the terms:
10 + 5x = 3(-5 + 3x)
10 + 5x = (-5 * 3 + 3x * 3)
10 + 5x = (-15 + 9x)
Solving
10 + 5x = -15 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
10 + 5x + -9x = -15 + 9x + -9x
Combine like terms: 5x + -9x = -4x
10 + -4x = -15 + 9x + -9x
Combine like terms: 9x + -9x = 0
10 + -4x = -15 + 0
10 + -4x = -15
Add '-10' to each side of the equation.
10 + -10 + -4x = -15 + -10
Combine like terms: 10 + -10 = 0
0 + -4x = -15 + -10
-4x = -15 + -10
Combine like terms: -15 + -10 = -25
-4x = -25
Divide each side by '-4'.
x = 6.25
Simplifying
x = 6.25`

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