2a-(5a-7)=22

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Solution for 2a-(5a-7)=22 equation:


Simplifying
2a + -1(5a + -7) = 22

Reorder the terms:
2a + -1(-7 + 5a) = 22
2a + (-7 * -1 + 5a * -1) = 22
2a + (7 + -5a) = 22

Reorder the terms:
7 + 2a + -5a = 22

Combine like terms: 2a + -5a = -3a
7 + -3a = 22

Solving
7 + -3a = 22

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 + -3a = 22 + -7

Combine like terms: 7 + -7 = 0
0 + -3a = 22 + -7
-3a = 22 + -7

Combine like terms: 22 + -7 = 15
-3a = 15

Divide each side by '-3'.
a = -5

Simplifying
a = -5

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