(3x-12)-(5x-10)=15

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Solution for (3x-12)-(5x-10)=15 equation:


Simplifying
(3x + -12) + -1(5x + -10) = 15

Reorder the terms:
(-12 + 3x) + -1(5x + -10) = 15

Remove parenthesis around (-12 + 3x)
-12 + 3x + -1(5x + -10) = 15

Reorder the terms:
-12 + 3x + -1(-10 + 5x) = 15
-12 + 3x + (-10 * -1 + 5x * -1) = 15
-12 + 3x + (10 + -5x) = 15

Reorder the terms:
-12 + 10 + 3x + -5x = 15

Combine like terms: -12 + 10 = -2
-2 + 3x + -5x = 15

Combine like terms: 3x + -5x = -2x
-2 + -2x = 15

Solving
-2 + -2x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2' to each side of the equation.
-2 + 2 + -2x = 15 + 2

Combine like terms: -2 + 2 = 0
0 + -2x = 15 + 2
-2x = 15 + 2

Combine like terms: 15 + 2 = 17
-2x = 17

Divide each side by '-2'.
x = -8.5

Simplifying
x = -8.5

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