(25a-20)-(24-30)-7a=21-(14-4a)

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Solution for (25a-20)-(24-30)-7a=21-(14-4a) equation:


Simplifying
(25a + -20) + -1(24 + -30) + -7a = 21 + -1(14 + -4a)

Reorder the terms:
(-20 + 25a) + -1(24 + -30) + -7a = 21 + -1(14 + -4a)

Remove parenthesis around (-20 + 25a)
-20 + 25a + -1(24 + -30) + -7a = 21 + -1(14 + -4a)

Combine like terms: 24 + -30 = -6
-20 + 25a + -1(-6) + -7a = 21 + -1(14 + -4a)

Multiply -1 * -6
-20 + 25a + 6 + -7a = 21 + -1(14 + -4a)

Reorder the terms:
-20 + 6 + 25a + -7a = 21 + -1(14 + -4a)

Combine like terms: -20 + 6 = -14
-14 + 25a + -7a = 21 + -1(14 + -4a)

Combine like terms: 25a + -7a = 18a
-14 + 18a = 21 + -1(14 + -4a)
-14 + 18a = 21 + (14 * -1 + -4a * -1)
-14 + 18a = 21 + (-14 + 4a)

Combine like terms: 21 + -14 = 7
-14 + 18a = 7 + 4a

Solving
-14 + 18a = 7 + 4a

Solving for variable 'a'.

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

Add '-4a' to each side of the equation.
-14 + 18a + -4a = 7 + 4a + -4a

Combine like terms: 18a + -4a = 14a
-14 + 14a = 7 + 4a + -4a

Combine like terms: 4a + -4a = 0
-14 + 14a = 7 + 0
-14 + 14a = 7

Add '14' to each side of the equation.
-14 + 14 + 14a = 7 + 14

Combine like terms: -14 + 14 = 0
0 + 14a = 7 + 14
14a = 7 + 14

Combine like terms: 7 + 14 = 21
14a = 21

Divide each side by '14'.
a = 1.5

Simplifying
a = 1.5

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