3x-3(2x-5)=5(x-6)+25

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Solution for 3x-3(2x-5)=5(x-6)+25 equation:


Simplifying
3x + -3(2x + -5) = 5(x + -6) + 25

Reorder the terms:
3x + -3(-5 + 2x) = 5(x + -6) + 25
3x + (-5 * -3 + 2x * -3) = 5(x + -6) + 25
3x + (15 + -6x) = 5(x + -6) + 25

Reorder the terms:
15 + 3x + -6x = 5(x + -6) + 25

Combine like terms: 3x + -6x = -3x
15 + -3x = 5(x + -6) + 25

Reorder the terms:
15 + -3x = 5(-6 + x) + 25
15 + -3x = (-6 * 5 + x * 5) + 25
15 + -3x = (-30 + 5x) + 25

Reorder the terms:
15 + -3x = -30 + 25 + 5x

Combine like terms: -30 + 25 = -5
15 + -3x = -5 + 5x

Solving
15 + -3x = -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.
15 + -3x + -5x = -5 + 5x + -5x

Combine like terms: -3x + -5x = -8x
15 + -8x = -5 + 5x + -5x

Combine like terms: 5x + -5x = 0
15 + -8x = -5 + 0
15 + -8x = -5

Add '-15' to each side of the equation.
15 + -15 + -8x = -5 + -15

Combine like terms: 15 + -15 = 0
0 + -8x = -5 + -15
-8x = -5 + -15

Combine like terms: -5 + -15 = -20
-8x = -20

Divide each side by '-8'.
x = 2.5

Simplifying
x = 2.5

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