5(a-4)-15=3(a+8)+4

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Solution for 5(a-4)-15=3(a+8)+4 equation:


Simplifying
5(a + -4) + -15 = 3(a + 8) + 4

Reorder the terms:
5(-4 + a) + -15 = 3(a + 8) + 4
(-4 * 5 + a * 5) + -15 = 3(a + 8) + 4
(-20 + 5a) + -15 = 3(a + 8) + 4

Reorder the terms:
-20 + -15 + 5a = 3(a + 8) + 4

Combine like terms: -20 + -15 = -35
-35 + 5a = 3(a + 8) + 4

Reorder the terms:
-35 + 5a = 3(8 + a) + 4
-35 + 5a = (8 * 3 + a * 3) + 4
-35 + 5a = (24 + 3a) + 4

Reorder the terms:
-35 + 5a = 24 + 4 + 3a

Combine like terms: 24 + 4 = 28
-35 + 5a = 28 + 3a

Solving
-35 + 5a = 28 + 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.
-35 + 5a + -3a = 28 + 3a + -3a

Combine like terms: 5a + -3a = 2a
-35 + 2a = 28 + 3a + -3a

Combine like terms: 3a + -3a = 0
-35 + 2a = 28 + 0
-35 + 2a = 28

Add '35' to each side of the equation.
-35 + 35 + 2a = 28 + 35

Combine like terms: -35 + 35 = 0
0 + 2a = 28 + 35
2a = 28 + 35

Combine like terms: 28 + 35 = 63
2a = 63

Divide each side by '2'.
a = 31.5

Simplifying
a = 31.5

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