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

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


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

Reorder the terms:
5(-2 + x) + -3x = 3(x + -5)
(-2 * 5 + x * 5) + -3x = 3(x + -5)
(-10 + 5x) + -3x = 3(x + -5)

Combine like terms: 5x + -3x = 2x
-10 + 2x = 3(x + -5)

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

Solving
-10 + 2x = -15 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-10 + 2x + -3x = -15 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-10 + -1x = -15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -1x = -15 + 0
-10 + -1x = -15

Add '10' to each side of the equation.
-10 + 10 + -1x = -15 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -15 + 10
-1x = -15 + 10

Combine like terms: -15 + 10 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

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