8(3a+5)-7(4a-3)=20-3a

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Solution for 8(3a+5)-7(4a-3)=20-3a equation:


Simplifying
8(3a + 5) + -7(4a + -3) = 20 + -3a

Reorder the terms:
8(5 + 3a) + -7(4a + -3) = 20 + -3a
(5 * 8 + 3a * 8) + -7(4a + -3) = 20 + -3a
(40 + 24a) + -7(4a + -3) = 20 + -3a

Reorder the terms:
40 + 24a + -7(-3 + 4a) = 20 + -3a
40 + 24a + (-3 * -7 + 4a * -7) = 20 + -3a
40 + 24a + (21 + -28a) = 20 + -3a

Reorder the terms:
40 + 21 + 24a + -28a = 20 + -3a

Combine like terms: 40 + 21 = 61
61 + 24a + -28a = 20 + -3a

Combine like terms: 24a + -28a = -4a
61 + -4a = 20 + -3a

Solving
61 + -4a = 20 + -3a

Solving for variable 'a'.

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

Add '3a' to each side of the equation.
61 + -4a + 3a = 20 + -3a + 3a

Combine like terms: -4a + 3a = -1a
61 + -1a = 20 + -3a + 3a

Combine like terms: -3a + 3a = 0
61 + -1a = 20 + 0
61 + -1a = 20

Add '-61' to each side of the equation.
61 + -61 + -1a = 20 + -61

Combine like terms: 61 + -61 = 0
0 + -1a = 20 + -61
-1a = 20 + -61

Combine like terms: 20 + -61 = -41
-1a = -41

Divide each side by '-1'.
a = 41

Simplifying
a = 41

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