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

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


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

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

Reorder the terms:
10 + 5a = 3(-4 + a)
10 + 5a = (-4 * 3 + a * 3)
10 + 5a = (-12 + 3a)

Solving
10 + 5a = -12 + 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.
10 + 5a + -3a = -12 + 3a + -3a

Combine like terms: 5a + -3a = 2a
10 + 2a = -12 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + 2a = -12 + 0
10 + 2a = -12

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

Combine like terms: 10 + -10 = 0
0 + 2a = -12 + -10
2a = -12 + -10

Combine like terms: -12 + -10 = -22
2a = -22

Divide each side by '2'.
a = -11

Simplifying
a = -11

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