7a+(12-3a)=2a+(-4a+21)

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Solution for 7a+(12-3a)=2a+(-4a+21) equation:


Simplifying
7a + (12 + -3a) = 2a + (-4a + 21)

Remove parenthesis around (12 + -3a)
7a + 12 + -3a = 2a + (-4a + 21)

Reorder the terms:
12 + 7a + -3a = 2a + (-4a + 21)

Combine like terms: 7a + -3a = 4a
12 + 4a = 2a + (-4a + 21)

Reorder the terms:
12 + 4a = 2a + (21 + -4a)

Remove parenthesis around (21 + -4a)
12 + 4a = 2a + 21 + -4a

Reorder the terms:
12 + 4a = 21 + 2a + -4a

Combine like terms: 2a + -4a = -2a
12 + 4a = 21 + -2a

Solving
12 + 4a = 21 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
12 + 4a + 2a = 21 + -2a + 2a

Combine like terms: 4a + 2a = 6a
12 + 6a = 21 + -2a + 2a

Combine like terms: -2a + 2a = 0
12 + 6a = 21 + 0
12 + 6a = 21

Add '-12' to each side of the equation.
12 + -12 + 6a = 21 + -12

Combine like terms: 12 + -12 = 0
0 + 6a = 21 + -12
6a = 21 + -12

Combine like terms: 21 + -12 = 9
6a = 9

Divide each side by '6'.
a = 1.5

Simplifying
a = 1.5

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