5(3x-3)-5=5(x-4)+30

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Solution for 5(3x-3)-5=5(x-4)+30 equation: 


Simplifying
5(3x + -3) + -5 = 5(x + -4) + 30

Reorder the terms:
5(-3 + 3x) + -5 = 5(x + -4) + 30
(-3 * 5 + 3x * 5) + -5 = 5(x + -4) + 30
(-15 + 15x) + -5 = 5(x + -4) + 30

Reorder the terms:
-15 + -5 + 15x = 5(x + -4) + 30

Combine like terms: -15 + -5 = -20
-20 + 15x = 5(x + -4) + 30

Reorder the terms:
-20 + 15x = 5(-4 + x) + 30
-20 + 15x = (-4 * 5 + x * 5) + 30
-20 + 15x = (-20 + 5x) + 30

Reorder the terms:
-20 + 15x = -20 + 30 + 5x

Combine like terms: -20 + 30 = 10
-20 + 15x = 10 + 5x

Solving
-20 + 15x = 10 + 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.
-20 + 15x + -5x = 10 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-20 + 10x = 10 + 0
-20 + 10x = 10

Add '20' to each side of the equation.
-20 + 20 + 10x = 10 + 20

Combine like terms: -20 + 20 = 0
0 + 10x = 10 + 20
10x = 10 + 20

Combine like terms: 10 + 20 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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