3a+12+(-3a)=5a+7+(-3a)

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Solution for 3a+12+(-3a)=5a+7+(-3a) equation:


Simplifying
3a + 12 + (-3a) = 5a + 7 + (-3a)

Reorder the terms:
12 + 3a + (-3a) = 5a + 7 + (-3a)

Combine like terms: 3a + (-3a) = 0
12 + 0 = 5a + 7 + (-3a)
12 = 5a + 7 + (-3a)

Reorder the terms:
12 = 7 + 5a + (-3a)

Combine like terms: 5a + (-3a) = 2a
12 = 7 + 2a

Solving
12 = 7 + 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 + -2a = 7 + 2a + -2a

Combine like terms: 2a + -2a = 0
12 + -2a = 7 + 0
12 + -2a = 7

Add '-12' to each side of the equation.
12 + -12 + -2a = 7 + -12

Combine like terms: 12 + -12 = 0
0 + -2a = 7 + -12
-2a = 7 + -12

Combine like terms: 7 + -12 = -5
-2a = -5

Divide each side by '-2'.
a = 2.5

Simplifying
a = 2.5

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