18-(2a-5)-(a+2)=3a+5

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Solution for 18-(2a-5)-(a+2)=3a+5 equation:


Simplifying
18 + -1(2a + -5) + -1(a + 2) = 3a + 5

Reorder the terms:
18 + -1(-5 + 2a) + -1(a + 2) = 3a + 5
18 + (-5 * -1 + 2a * -1) + -1(a + 2) = 3a + 5
18 + (5 + -2a) + -1(a + 2) = 3a + 5

Reorder the terms:
18 + 5 + -2a + -1(2 + a) = 3a + 5
18 + 5 + -2a + (2 * -1 + a * -1) = 3a + 5
18 + 5 + -2a + (-2 + -1a) = 3a + 5

Reorder the terms:
18 + 5 + -2 + -2a + -1a = 3a + 5

Combine like terms: 18 + 5 = 23
23 + -2 + -2a + -1a = 3a + 5

Combine like terms: 23 + -2 = 21
21 + -2a + -1a = 3a + 5

Combine like terms: -2a + -1a = -3a
21 + -3a = 3a + 5

Reorder the terms:
21 + -3a = 5 + 3a

Solving
21 + -3a = 5 + 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.
21 + -3a + -3a = 5 + 3a + -3a

Combine like terms: -3a + -3a = -6a
21 + -6a = 5 + 3a + -3a

Combine like terms: 3a + -3a = 0
21 + -6a = 5 + 0
21 + -6a = 5

Add '-21' to each side of the equation.
21 + -21 + -6a = 5 + -21

Combine like terms: 21 + -21 = 0
0 + -6a = 5 + -21
-6a = 5 + -21

Combine like terms: 5 + -21 = -16
-6a = -16

Divide each side by '-6'.
a = 2.666666667

Simplifying
a = 2.666666667

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