10(a+3)=18(4-a)

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Solution for 10(a+3)=18(4-a) equation:


Simplifying
10(a + 3) = 18(4 + -1a)

Reorder the terms:
10(3 + a) = 18(4 + -1a)
(3 * 10 + a * 10) = 18(4 + -1a)
(30 + 10a) = 18(4 + -1a)
30 + 10a = (4 * 18 + -1a * 18)
30 + 10a = (72 + -18a)

Solving
30 + 10a = 72 + -18a

Solving for variable 'a'.

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

Add '18a' to each side of the equation.
30 + 10a + 18a = 72 + -18a + 18a

Combine like terms: 10a + 18a = 28a
30 + 28a = 72 + -18a + 18a

Combine like terms: -18a + 18a = 0
30 + 28a = 72 + 0
30 + 28a = 72

Add '-30' to each side of the equation.
30 + -30 + 28a = 72 + -30

Combine like terms: 30 + -30 = 0
0 + 28a = 72 + -30
28a = 72 + -30

Combine like terms: 72 + -30 = 42
28a = 42

Divide each side by '28'.
a = 1.5

Simplifying
a = 1.5

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