5(a+2)=2+3(a-1)

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Solution for 5(a+2)=2+3(a-1) equation:


Simplifying
5(a + 2) = 2 + 3(a + -1)

Reorder the terms:
5(2 + a) = 2 + 3(a + -1)
(2 * 5 + a * 5) = 2 + 3(a + -1)
(10 + 5a) = 2 + 3(a + -1)

Reorder the terms:
10 + 5a = 2 + 3(-1 + a)
10 + 5a = 2 + (-1 * 3 + a * 3)
10 + 5a = 2 + (-3 + 3a)

Combine like terms: 2 + -3 = -1
10 + 5a = -1 + 3a

Solving
10 + 5a = -1 + 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 = -1 + 3a + -3a

Combine like terms: 5a + -3a = 2a
10 + 2a = -1 + 3a + -3a

Combine like terms: 3a + -3a = 0
10 + 2a = -1 + 0
10 + 2a = -1

Add '-10' to each side of the equation.
10 + -10 + 2a = -1 + -10

Combine like terms: 10 + -10 = 0
0 + 2a = -1 + -10
2a = -1 + -10

Combine like terms: -1 + -10 = -11
2a = -11

Divide each side by '2'.
a = -5.5

Simplifying
a = -5.5

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