7a-4(2a-8)=5(4-a)-4

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Solution for 7a-4(2a-8)=5(4-a)-4 equation:


Simplifying
7a + -4(2a + -8) = 5(4 + -1a) + -4

Reorder the terms:
7a + -4(-8 + 2a) = 5(4 + -1a) + -4
7a + (-8 * -4 + 2a * -4) = 5(4 + -1a) + -4
7a + (32 + -8a) = 5(4 + -1a) + -4

Reorder the terms:
32 + 7a + -8a = 5(4 + -1a) + -4

Combine like terms: 7a + -8a = -1a
32 + -1a = 5(4 + -1a) + -4
32 + -1a = (4 * 5 + -1a * 5) + -4
32 + -1a = (20 + -5a) + -4

Reorder the terms:
32 + -1a = 20 + -4 + -5a

Combine like terms: 20 + -4 = 16
32 + -1a = 16 + -5a

Solving
32 + -1a = 16 + -5a

Solving for variable 'a'.

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

Add '5a' to each side of the equation.
32 + -1a + 5a = 16 + -5a + 5a

Combine like terms: -1a + 5a = 4a
32 + 4a = 16 + -5a + 5a

Combine like terms: -5a + 5a = 0
32 + 4a = 16 + 0
32 + 4a = 16

Add '-32' to each side of the equation.
32 + -32 + 4a = 16 + -32

Combine like terms: 32 + -32 = 0
0 + 4a = 16 + -32
4a = 16 + -32

Combine like terms: 16 + -32 = -16
4a = -16

Divide each side by '4'.
a = -4

Simplifying
a = -4

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