5(3x-8)-5=5(x-4)+25

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Solution for 5(3x-8)-5=5(x-4)+25 equation:


Simplifying
5(3x + -8) + -5 = 5(x + -4) + 25

Reorder the terms:
5(-8 + 3x) + -5 = 5(x + -4) + 25
(-8 * 5 + 3x * 5) + -5 = 5(x + -4) + 25
(-40 + 15x) + -5 = 5(x + -4) + 25

Reorder the terms:
-40 + -5 + 15x = 5(x + -4) + 25

Combine like terms: -40 + -5 = -45
-45 + 15x = 5(x + -4) + 25

Reorder the terms:
-45 + 15x = 5(-4 + x) + 25
-45 + 15x = (-4 * 5 + x * 5) + 25
-45 + 15x = (-20 + 5x) + 25

Reorder the terms:
-45 + 15x = -20 + 25 + 5x

Combine like terms: -20 + 25 = 5
-45 + 15x = 5 + 5x

Solving
-45 + 15x = 5 + 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 + 15x + -5x = 5 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-45 + 10x = 5 + 0
-45 + 10x = 5

Add '45' to each side of the equation.
-45 + 45 + 10x = 5 + 45

Combine like terms: -45 + 45 = 0
0 + 10x = 5 + 45
10x = 5 + 45

Combine like terms: 5 + 45 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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