5(2x-4)-5=5(x-3)

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Solution for 5(2x-4)-5=5(x-3) equation:


Simplifying
5(2x + -4) + -5 = 5(x + -3)

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

Reorder the terms:
-20 + -5 + 10x = 5(x + -3)

Combine like terms: -20 + -5 = -25
-25 + 10x = 5(x + -3)

Reorder the terms:
-25 + 10x = 5(-3 + x)
-25 + 10x = (-3 * 5 + x * 5)
-25 + 10x = (-15 + 5x)

Solving
-25 + 10x = -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.
-25 + 10x + -5x = -15 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-25 + 5x = -15 + 5x + -5x

Combine like terms: 5x + -5x = 0
-25 + 5x = -15 + 0
-25 + 5x = -15

Add '25' to each side of the equation.
-25 + 25 + 5x = -15 + 25

Combine like terms: -25 + 25 = 0
0 + 5x = -15 + 25
5x = -15 + 25

Combine like terms: -15 + 25 = 10
5x = 10

Divide each side by '5'.
x = 2

Simplifying
x = 2

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