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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