3(a+5)-(2a+1)=4(4a-4)-15

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Solution for 3(a+5)-(2a+1)=4(4a-4)-15 equation:


Simplifying
3(a + 5) + -1(2a + 1) = 4(4a + -4) + -15

Reorder the terms:
3(5 + a) + -1(2a + 1) = 4(4a + -4) + -15
(5 * 3 + a * 3) + -1(2a + 1) = 4(4a + -4) + -15
(15 + 3a) + -1(2a + 1) = 4(4a + -4) + -15

Reorder the terms:
15 + 3a + -1(1 + 2a) = 4(4a + -4) + -15
15 + 3a + (1 * -1 + 2a * -1) = 4(4a + -4) + -15
15 + 3a + (-1 + -2a) = 4(4a + -4) + -15

Reorder the terms:
15 + -1 + 3a + -2a = 4(4a + -4) + -15

Combine like terms: 15 + -1 = 14
14 + 3a + -2a = 4(4a + -4) + -15

Combine like terms: 3a + -2a = 1a
14 + 1a = 4(4a + -4) + -15

Reorder the terms:
14 + 1a = 4(-4 + 4a) + -15
14 + 1a = (-4 * 4 + 4a * 4) + -15
14 + 1a = (-16 + 16a) + -15

Reorder the terms:
14 + 1a = -16 + -15 + 16a

Combine like terms: -16 + -15 = -31
14 + 1a = -31 + 16a

Solving
14 + 1a = -31 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
14 + 1a + -16a = -31 + 16a + -16a

Combine like terms: 1a + -16a = -15a
14 + -15a = -31 + 16a + -16a

Combine like terms: 16a + -16a = 0
14 + -15a = -31 + 0
14 + -15a = -31

Add '-14' to each side of the equation.
14 + -14 + -15a = -31 + -14

Combine like terms: 14 + -14 = 0
0 + -15a = -31 + -14
-15a = -31 + -14

Combine like terms: -31 + -14 = -45
-15a = -45

Divide each side by '-15'.
a = 3

Simplifying
a = 3

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