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

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Solution for 3(x-1)-(x+5)=2 equation:


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

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

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

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

Combine like terms: -3 + -5 = -8
-8 + 3x + -1x = 2

Combine like terms: 3x + -1x = 2x
-8 + 2x = 2

Solving
-8 + 2x = 2

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 2x = 2 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 2 + 8
2x = 2 + 8

Combine like terms: 2 + 8 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5

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