3a-(7-2a)=42

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Solution for 3a-(7-2a)=42 equation:


Simplifying
3a + -1(7 + -2a) = 42
3a + (7 * -1 + -2a * -1) = 42
3a + (-7 + 2a) = 42

Reorder the terms:
-7 + 3a + 2a = 42

Combine like terms: 3a + 2a = 5a
-7 + 5a = 42

Solving
-7 + 5a = 42

Solving for variable 'a'.

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

Add '7' to each side of the equation.
-7 + 7 + 5a = 42 + 7

Combine like terms: -7 + 7 = 0
0 + 5a = 42 + 7
5a = 42 + 7

Combine like terms: 42 + 7 = 49
5a = 49

Divide each side by '5'.
a = 9.8

Simplifying
a = 9.8

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