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

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


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

Reorder the terms:
2(5 + -3a) = 4(a + 4)
(5 * 2 + -3a * 2) = 4(a + 4)
(10 + -6a) = 4(a + 4)

Reorder the terms:
10 + -6a = 4(4 + a)
10 + -6a = (4 * 4 + a * 4)
10 + -6a = (16 + 4a)

Solving
10 + -6a = 16 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
10 + -6a + -4a = 16 + 4a + -4a

Combine like terms: -6a + -4a = -10a
10 + -10a = 16 + 4a + -4a

Combine like terms: 4a + -4a = 0
10 + -10a = 16 + 0
10 + -10a = 16

Add '-10' to each side of the equation.
10 + -10 + -10a = 16 + -10

Combine like terms: 10 + -10 = 0
0 + -10a = 16 + -10
-10a = 16 + -10

Combine like terms: 16 + -10 = 6
-10a = 6

Divide each side by '-10'.
a = -0.6

Simplifying
a = -0.6

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