-3a+a-12=-(a-5)

Solution for -3a+a-12=-(a-5) equation:

Simplifying
-3a + a + -12 = -1(a + -5)

Reorder the terms:
-12 + -3a + a = -1(a + -5)

Combine like terms: -3a + a = -2a
-12 + -2a = -1(a + -5)

Reorder the terms:
-12 + -2a = -1(-5 + a)
-12 + -2a = (-5 * -1 + a * -1)
-12 + -2a = (5 + -1a)

Solving
-12 + -2a = 5 + -1a

Solving for variable 'a'.

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

Add 'a' to each side of the equation.
-12 + -2a + a = 5 + -1a + a

Combine like terms: -2a + a = -1a
-12 + -1a = 5 + -1a + a

Combine like terms: -1a + a = 0
-12 + -1a = 5 + 0
-12 + -1a = 5

Add '12' to each side of the equation.
-12 + 12 + -1a = 5 + 12

Combine like terms: -12 + 12 = 0
0 + -1a = 5 + 12
-1a = 5 + 12

Combine like terms: 5 + 12 = 17
-1a = 17

Divide each side by '-1'.
a = -17

Simplifying
a = -17