11a-4(2a-3)=18+5(a+2)

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Solution for 11a-4(2a-3)=18+5(a+2) equation:


Simplifying
11a + -4(2a + -3) = 18 + 5(a + 2)

Reorder the terms:
11a + -4(-3 + 2a) = 18 + 5(a + 2)
11a + (-3 * -4 + 2a * -4) = 18 + 5(a + 2)
11a + (12 + -8a) = 18 + 5(a + 2)

Reorder the terms:
12 + 11a + -8a = 18 + 5(a + 2)

Combine like terms: 11a + -8a = 3a
12 + 3a = 18 + 5(a + 2)

Reorder the terms:
12 + 3a = 18 + 5(2 + a)
12 + 3a = 18 + (2 * 5 + a * 5)
12 + 3a = 18 + (10 + 5a)

Combine like terms: 18 + 10 = 28
12 + 3a = 28 + 5a

Solving
12 + 3a = 28 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
12 + 3a + -5a = 28 + 5a + -5a

Combine like terms: 3a + -5a = -2a
12 + -2a = 28 + 5a + -5a

Combine like terms: 5a + -5a = 0
12 + -2a = 28 + 0
12 + -2a = 28

Add '-12' to each side of the equation.
12 + -12 + -2a = 28 + -12

Combine like terms: 12 + -12 = 0
0 + -2a = 28 + -12
-2a = 28 + -12

Combine like terms: 28 + -12 = 16
-2a = 16

Divide each side by '-2'.
a = -8

Simplifying
a = -8

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