32-2[4-5]-10=3[a+7]-18

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Solution for 32-2[4-5]-10=3[a+7]-18 equation: 


Simplifying
32 + -2[4 + -5] + -10 = 3[a + 7] + -18

Combine like terms: 4 + -5 = -1
32 + -2[-1] + -10 = 3[a + 7] + -18

Multiply -2 * -1
32 + 2 + -10 = 3[a + 7] + -18

Combine like terms: 32 + 2 = 34
34 + -10 = 3[a + 7] + -18

Combine like terms: 34 + -10 = 24
24 = 3[a + 7] + -18

Reorder the terms:
24 = 3[7 + a] + -18
24 = [7 * 3 + a * 3] + -18
24 = [21 + 3a] + -18

Reorder the terms:
24 = 21 + -18 + 3a

Combine like terms: 21 + -18 = 3
24 = 3 + 3a

Solving
24 = 3 + 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.
24 + -3a = 3 + 3a + -3a

Combine like terms: 3a + -3a = 0
24 + -3a = 3 + 0
24 + -3a = 3

Add '-24' to each side of the equation.
24 + -24 + -3a = 3 + -24

Combine like terms: 24 + -24 = 0
0 + -3a = 3 + -24
-3a = 3 + -24

Combine like terms: 3 + -24 = -21
-3a = -21

Divide each side by '-3'.
a = 7

Simplifying
a = 7

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