2(3a-7)+5a-6=90

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Solution for 2(3a-7)+5a-6=90 equation:


Simplifying
2(3a + -7) + 5a + -6 = 90

Reorder the terms:
2(-7 + 3a) + 5a + -6 = 90
(-7 * 2 + 3a * 2) + 5a + -6 = 90
(-14 + 6a) + 5a + -6 = 90

Reorder the terms:
-14 + -6 + 6a + 5a = 90

Combine like terms: -14 + -6 = -20
-20 + 6a + 5a = 90

Combine like terms: 6a + 5a = 11a
-20 + 11a = 90

Solving
-20 + 11a = 90

Solving for variable 'a'.

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

Add '20' to each side of the equation.
-20 + 20 + 11a = 90 + 20

Combine like terms: -20 + 20 = 0
0 + 11a = 90 + 20
11a = 90 + 20

Combine like terms: 90 + 20 = 110
11a = 110

Divide each side by '11'.
a = 10

Simplifying
a = 10

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