5(3x-2)-2=5(x-5)+63

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Solution for 5(3x-2)-2=5(x-5)+63 equation:


Simplifying
5(3x + -2) + -2 = 5(x + -5) + 63

Reorder the terms:
5(-2 + 3x) + -2 = 5(x + -5) + 63
(-2 * 5 + 3x * 5) + -2 = 5(x + -5) + 63
(-10 + 15x) + -2 = 5(x + -5) + 63

Reorder the terms:
-10 + -2 + 15x = 5(x + -5) + 63

Combine like terms: -10 + -2 = -12
-12 + 15x = 5(x + -5) + 63

Reorder the terms:
-12 + 15x = 5(-5 + x) + 63
-12 + 15x = (-5 * 5 + x * 5) + 63
-12 + 15x = (-25 + 5x) + 63

Reorder the terms:
-12 + 15x = -25 + 63 + 5x

Combine like terms: -25 + 63 = 38
-12 + 15x = 38 + 5x

Solving
-12 + 15x = 38 + 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.
-12 + 15x + -5x = 38 + 5x + -5x

Combine like terms: 15x + -5x = 10x
-12 + 10x = 38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-12 + 10x = 38 + 0
-12 + 10x = 38

Add '12' to each side of the equation.
-12 + 12 + 10x = 38 + 12

Combine like terms: -12 + 12 = 0
0 + 10x = 38 + 12
10x = 38 + 12

Combine like terms: 38 + 12 = 50
10x = 50

Divide each side by '10'.
x = 5

Simplifying
x = 5

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