3(2a+5)-4a+9=-4-8a-2(a+4)

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Solution for 3(2a+5)-4a+9=-4-8a-2(a+4) equation:


Simplifying
3(2a + 5) + -4a + 9 = -4 + -8a + -2(a + 4)

Reorder the terms:
3(5 + 2a) + -4a + 9 = -4 + -8a + -2(a + 4)
(5 * 3 + 2a * 3) + -4a + 9 = -4 + -8a + -2(a + 4)
(15 + 6a) + -4a + 9 = -4 + -8a + -2(a + 4)

Reorder the terms:
15 + 9 + 6a + -4a = -4 + -8a + -2(a + 4)

Combine like terms: 15 + 9 = 24
24 + 6a + -4a = -4 + -8a + -2(a + 4)

Combine like terms: 6a + -4a = 2a
24 + 2a = -4 + -8a + -2(a + 4)

Reorder the terms:
24 + 2a = -4 + -8a + -2(4 + a)
24 + 2a = -4 + -8a + (4 * -2 + a * -2)
24 + 2a = -4 + -8a + (-8 + -2a)

Reorder the terms:
24 + 2a = -4 + -8 + -8a + -2a

Combine like terms: -4 + -8 = -12
24 + 2a = -12 + -8a + -2a

Combine like terms: -8a + -2a = -10a
24 + 2a = -12 + -10a

Solving
24 + 2a = -12 + -10a

Solving for variable 'a'.

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

Add '10a' to each side of the equation.
24 + 2a + 10a = -12 + -10a + 10a

Combine like terms: 2a + 10a = 12a
24 + 12a = -12 + -10a + 10a

Combine like terms: -10a + 10a = 0
24 + 12a = -12 + 0
24 + 12a = -12

Add '-24' to each side of the equation.
24 + -24 + 12a = -12 + -24

Combine like terms: 24 + -24 = 0
0 + 12a = -12 + -24
12a = -12 + -24

Combine like terms: -12 + -24 = -36
12a = -36

Divide each side by '12'.
a = -3

Simplifying
a = -3

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