5(3x-6)-3=5(x-3)+2

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Solution for 5(3x-6)-3=5(x-3)+2 equation:


Simplifying
5(3x + -6) + -3 = 5(x + -3) + 2

Reorder the terms:
5(-6 + 3x) + -3 = 5(x + -3) + 2
(-6 * 5 + 3x * 5) + -3 = 5(x + -3) + 2
(-30 + 15x) + -3 = 5(x + -3) + 2

Reorder the terms:
-30 + -3 + 15x = 5(x + -3) + 2

Combine like terms: -30 + -3 = -33
-33 + 15x = 5(x + -3) + 2

Reorder the terms:
-33 + 15x = 5(-3 + x) + 2
-33 + 15x = (-3 * 5 + x * 5) + 2
-33 + 15x = (-15 + 5x) + 2

Reorder the terms:
-33 + 15x = -15 + 2 + 5x

Combine like terms: -15 + 2 = -13
-33 + 15x = -13 + 5x

Solving
-33 + 15x = -13 + 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.
-33 + 15x + -5x = -13 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-33 + 10x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
-33 + 10x = -13 + 0
-33 + 10x = -13

Add '33' to each side of the equation.
-33 + 33 + 10x = -13 + 33

Combine like terms: -33 + 33 = 0
0 + 10x = -13 + 33
10x = -13 + 33

Combine like terms: -13 + 33 = 20
10x = 20

Divide each side by '10'.
x = 2

Simplifying
x = 2

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