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

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


Simplifying
-1(x + -2) + -3(x + -5) = 5

Reorder the terms:
-1(-2 + x) + -3(x + -5) = 5
(-2 * -1 + x * -1) + -3(x + -5) = 5
(2 + -1x) + -3(x + -5) = 5

Reorder the terms:
2 + -1x + -3(-5 + x) = 5
2 + -1x + (-5 * -3 + x * -3) = 5
2 + -1x + (15 + -3x) = 5

Reorder the terms:
2 + 15 + -1x + -3x = 5

Combine like terms: 2 + 15 = 17
17 + -1x + -3x = 5

Combine like terms: -1x + -3x = -4x
17 + -4x = 5

Solving
17 + -4x = 5

Solving for variable 'x'.

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

Add '-17' to each side of the equation.
17 + -17 + -4x = 5 + -17

Combine like terms: 17 + -17 = 0
0 + -4x = 5 + -17
-4x = 5 + -17

Combine like terms: 5 + -17 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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