4(a-6)+8=2(a-4)

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Solution for 4(a-6)+8=2(a-4) equation:


Simplifying
4(a + -6) + 8 = 2(a + -4)

Reorder the terms:
4(-6 + a) + 8 = 2(a + -4)
(-6 * 4 + a * 4) + 8 = 2(a + -4)
(-24 + 4a) + 8 = 2(a + -4)

Reorder the terms:
-24 + 8 + 4a = 2(a + -4)

Combine like terms: -24 + 8 = -16
-16 + 4a = 2(a + -4)

Reorder the terms:
-16 + 4a = 2(-4 + a)
-16 + 4a = (-4 * 2 + a * 2)
-16 + 4a = (-8 + 2a)

Solving
-16 + 4a = -8 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
-16 + 4a + -2a = -8 + 2a + -2a

Combine like terms: 4a + -2a = 2a
-16 + 2a = -8 + 2a + -2a

Combine like terms: 2a + -2a = 0
-16 + 2a = -8 + 0
-16 + 2a = -8

Add '16' to each side of the equation.
-16 + 16 + 2a = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 2a = -8 + 16
2a = -8 + 16

Combine like terms: -8 + 16 = 8
2a = 8

Divide each side by '2'.
a = 4

Simplifying
a = 4

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