5(2a+8)=2(3a+24)

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Solution for 5(2a+8)=2(3a+24) equation:


Simplifying
5(2a + 8) = 2(3a + 24)

Reorder the terms:
5(8 + 2a) = 2(3a + 24)
(8 * 5 + 2a * 5) = 2(3a + 24)
(40 + 10a) = 2(3a + 24)

Reorder the terms:
40 + 10a = 2(24 + 3a)
40 + 10a = (24 * 2 + 3a * 2)
40 + 10a = (48 + 6a)

Solving
40 + 10a = 48 + 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.
40 + 10a + -6a = 48 + 6a + -6a

Combine like terms: 10a + -6a = 4a
40 + 4a = 48 + 6a + -6a

Combine like terms: 6a + -6a = 0
40 + 4a = 48 + 0
40 + 4a = 48

Add '-40' to each side of the equation.
40 + -40 + 4a = 48 + -40

Combine like terms: 40 + -40 = 0
0 + 4a = 48 + -40
4a = 48 + -40

Combine like terms: 48 + -40 = 8
4a = 8

Divide each side by '4'.
a = 2

Simplifying
a = 2

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