2(6a+5b)-5(3a-4b)=x

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Solution for 2(6a+5b)-5(3a-4b)=x equation:


Simplifying
2(6a + 5b) + -5(3a + -4b) = x
(6a * 2 + 5b * 2) + -5(3a + -4b) = x
(12a + 10b) + -5(3a + -4b) = x
12a + 10b + (3a * -5 + -4b * -5) = x
12a + 10b + (-15a + 20b) = x

Reorder the terms:
12a + -15a + 10b + 20b = x

Combine like terms: 12a + -15a = -3a
-3a + 10b + 20b = x

Combine like terms: 10b + 20b = 30b
-3a + 30b = x

Solving
-3a + 30b = x

Solving for variable 'a'.

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

Add '-30b' to each side of the equation.
-3a + 30b + -30b = -30b + x

Combine like terms: 30b + -30b = 0
-3a + 0 = -30b + x
-3a = -30b + x

Divide each side by '-3'.
a = 10b + -0.3333333333x

Simplifying
a = 10b + -0.3333333333x

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