5(3x-6)-2=5(x-3)+13

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Solution for 5(3x-6)-2=5(x-3)+13 equation:


Simplifying
5(3x + -6) + -2 = 5(x + -3) + 13

Reorder the terms:
5(-6 + 3x) + -2 = 5(x + -3) + 13
(-6 * 5 + 3x * 5) + -2 = 5(x + -3) + 13
(-30 + 15x) + -2 = 5(x + -3) + 13

Reorder the terms:
-30 + -2 + 15x = 5(x + -3) + 13

Combine like terms: -30 + -2 = -32
-32 + 15x = 5(x + -3) + 13

Reorder the terms:
-32 + 15x = 5(-3 + x) + 13
-32 + 15x = (-3 * 5 + x * 5) + 13
-32 + 15x = (-15 + 5x) + 13

Reorder the terms:
-32 + 15x = -15 + 13 + 5x

Combine like terms: -15 + 13 = -2
-32 + 15x = -2 + 5x

Solving
-32 + 15x = -2 + 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.
-32 + 15x + -5x = -2 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-32 + 10x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-32 + 10x = -2 + 0
-32 + 10x = -2

Add '32' to each side of the equation.
-32 + 32 + 10x = -2 + 32

Combine like terms: -32 + 32 = 0
0 + 10x = -2 + 32
10x = -2 + 32

Combine like terms: -2 + 32 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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