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

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


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

Reorder the terms:
4(3 + 2a) = 2(3a + -5)
(3 * 4 + 2a * 4) = 2(3a + -5)
(12 + 8a) = 2(3a + -5)

Reorder the terms:
12 + 8a = 2(-5 + 3a)
12 + 8a = (-5 * 2 + 3a * 2)
12 + 8a = (-10 + 6a)

Solving
12 + 8a = -10 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
12 + 8a + -6a = -10 + 6a + -6a

Combine like terms: 8a + -6a = 2a
12 + 2a = -10 + 6a + -6a

Combine like terms: 6a + -6a = 0
12 + 2a = -10 + 0
12 + 2a = -10

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

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

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

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

Simplifying
a = -11

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