3(x-a)+2(x+a)=a

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

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

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

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

Reorder the terms:
-3a + 2a + 3x + 2x = a

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

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

Solving
-1a + 5x = a

Solving for variable 'a'.

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

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

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

Combine like terms: a + -1a = 0
-2a + 5x = 0

Add '-5x' to each side of the equation.
-2a + 5x + -5x = 0 + -5x

Combine like terms: 5x + -5x = 0
-2a + 0 = 0 + -5x
-2a = 0 + -5x
Remove the zero:
-2a = -5x

Divide each side by '-2'.
a = 2.5x

Simplifying
a = 2.5x