5(2x-8)-5=5(x-3)-5

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Solution for 5(2x-8)-5=5(x-3)-5 equation:


Simplifying
5(2x + -8) + -5 = 5(x + -3) + -5

Reorder the terms:
5(-8 + 2x) + -5 = 5(x + -3) + -5
(-8 * 5 + 2x * 5) + -5 = 5(x + -3) + -5
(-40 + 10x) + -5 = 5(x + -3) + -5

Reorder the terms:
-40 + -5 + 10x = 5(x + -3) + -5

Combine like terms: -40 + -5 = -45
-45 + 10x = 5(x + -3) + -5

Reorder the terms:
-45 + 10x = 5(-3 + x) + -5
-45 + 10x = (-3 * 5 + x * 5) + -5
-45 + 10x = (-15 + 5x) + -5

Reorder the terms:
-45 + 10x = -15 + -5 + 5x

Combine like terms: -15 + -5 = -20
-45 + 10x = -20 + 5x

Solving
-45 + 10x = -20 + 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.
-45 + 10x + -5x = -20 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-45 + 5x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-45 + 5x = -20 + 0
-45 + 5x = -20

Add '45' to each side of the equation.
-45 + 45 + 5x = -20 + 45

Combine like terms: -45 + 45 = 0
0 + 5x = -20 + 45
5x = -20 + 45

Combine like terms: -20 + 45 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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