5-3(a-2)=7+a

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Solution for 5-3(a-2)=7+a equation:


Simplifying
5 + -3(a + -2) = 7 + a

Reorder the terms:
5 + -3(-2 + a) = 7 + a
5 + (-2 * -3 + a * -3) = 7 + a
5 + (6 + -3a) = 7 + a

Combine like terms: 5 + 6 = 11
11 + -3a = 7 + a

Solving
11 + -3a = 7 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
11 + -3a + -1a = 7 + a + -1a

Combine like terms: -3a + -1a = -4a
11 + -4a = 7 + a + -1a

Combine like terms: a + -1a = 0
11 + -4a = 7 + 0
11 + -4a = 7

Add '-11' to each side of the equation.
11 + -11 + -4a = 7 + -11

Combine like terms: 11 + -11 = 0
0 + -4a = 7 + -11
-4a = 7 + -11

Combine like terms: 7 + -11 = -4
-4a = -4

Divide each side by '-4'.
a = 1

Simplifying
a = 1

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