4(8a-5)-[3(2a-2)+5]=

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Solution for 4(8a-5)-[3(2a-2)+5]= equation:


Simplifying
4(8a + -5) + -1[3(2a + -2) + 5] = 0

Reorder the terms:
4(-5 + 8a) + -1[3(2a + -2) + 5] = 0
(-5 * 4 + 8a * 4) + -1[3(2a + -2) + 5] = 0
(-20 + 32a) + -1[3(2a + -2) + 5] = 0

Reorder the terms:
-20 + 32a + -1[3(-2 + 2a) + 5] = 0
-20 + 32a + -1[(-2 * 3 + 2a * 3) + 5] = 0
-20 + 32a + -1[(-6 + 6a) + 5] = 0

Reorder the terms:
-20 + 32a + -1[-6 + 5 + 6a] = 0

Combine like terms: -6 + 5 = -1
-20 + 32a + -1[-1 + 6a] = 0
-20 + 32a + [-1 * -1 + 6a * -1] = 0
-20 + 32a + [1 + -6a] = 0

Reorder the terms:
-20 + 1 + 32a + -6a = 0

Combine like terms: -20 + 1 = -19
-19 + 32a + -6a = 0

Combine like terms: 32a + -6a = 26a
-19 + 26a = 0

Solving
-19 + 26a = 0

Solving for variable 'a'.

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

Add '19' to each side of the equation.
-19 + 19 + 26a = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 26a = 0 + 19
26a = 0 + 19

Combine like terms: 0 + 19 = 19
26a = 19

Divide each side by '26'.
a = 0.7307692308

Simplifying
a = 0.7307692308

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