4(a-2)-4(a+3)=2a-6a

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Solution for 4(a-2)-4(a+3)=2a-6a equation:


Simplifying
4(a + -2) + -4(a + 3) = 2a + -6a

Reorder the terms:
4(-2 + a) + -4(a + 3) = 2a + -6a
(-2 * 4 + a * 4) + -4(a + 3) = 2a + -6a
(-8 + 4a) + -4(a + 3) = 2a + -6a

Reorder the terms:
-8 + 4a + -4(3 + a) = 2a + -6a
-8 + 4a + (3 * -4 + a * -4) = 2a + -6a
-8 + 4a + (-12 + -4a) = 2a + -6a

Reorder the terms:
-8 + -12 + 4a + -4a = 2a + -6a

Combine like terms: -8 + -12 = -20
-20 + 4a + -4a = 2a + -6a

Combine like terms: 4a + -4a = 0
-20 + 0 = 2a + -6a
-20 = 2a + -6a

Combine like terms: 2a + -6a = -4a
-20 = -4a

Solving
-20 = -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
-20 + 4a = -4a + 4a

Combine like terms: -4a + 4a = 0
-20 + 4a = 0

Add '20' to each side of the equation.
-20 + 20 + 4a = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 4a = 0 + 20
4a = 0 + 20

Combine like terms: 0 + 20 = 20
4a = 20

Divide each side by '4'.
a = 5

Simplifying
a = 5

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