5(a+2)=2a+3

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


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

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

Reorder the terms:
10 + 5a = 3 + 2a

Solving
10 + 5a = 3 + 2a

Solving for variable 'a'.

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

Add '-2a' to each side of the equation.
10 + 5a + -2a = 3 + 2a + -2a

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

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

Add '-10' to each side of the equation.
10 + -10 + 3a = 3 + -10

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

Combine like terms: 3 + -10 = -7
3a = -7

Divide each side by '3'.
a = -2.333333333

Simplifying
a = -2.333333333

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