5(4x-8)-5=5(x-3)+45

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Solution for 5(4x-8)-5=5(x-3)+45 equation:


Simplifying
5(4x + -8) + -5 = 5(x + -3) + 45

Reorder the terms:
5(-8 + 4x) + -5 = 5(x + -3) + 45
(-8 * 5 + 4x * 5) + -5 = 5(x + -3) + 45
(-40 + 20x) + -5 = 5(x + -3) + 45

Reorder the terms:
-40 + -5 + 20x = 5(x + -3) + 45

Combine like terms: -40 + -5 = -45
-45 + 20x = 5(x + -3) + 45

Reorder the terms:
-45 + 20x = 5(-3 + x) + 45
-45 + 20x = (-3 * 5 + x * 5) + 45
-45 + 20x = (-15 + 5x) + 45

Reorder the terms:
-45 + 20x = -15 + 45 + 5x

Combine like terms: -15 + 45 = 30
-45 + 20x = 30 + 5x

Solving
-45 + 20x = 30 + 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 + 20x + -5x = 30 + 5x + -5x

Combine like terms: 20x + -5x = 15x
-45 + 15x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
-45 + 15x = 30 + 0
-45 + 15x = 30

Add '45' to each side of the equation.
-45 + 45 + 15x = 30 + 45

Combine like terms: -45 + 45 = 0
0 + 15x = 30 + 45
15x = 30 + 45

Combine like terms: 30 + 45 = 75
15x = 75

Divide each side by '15'.
x = 5

Simplifying
x = 5

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