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

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


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

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

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

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

Solving
5 + -5x = -15 + 5x

Solving for variable 'x'.

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

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

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

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

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

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

Combine like terms: -15 + -5 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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