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

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


Simplifying
(4a + -5) + (3a + 6) = x

Reorder the terms:
(-5 + 4a) + (3a + 6) = x

Remove parenthesis around (-5 + 4a)
-5 + 4a + (3a + 6) = x

Reorder the terms:
-5 + 4a + (6 + 3a) = x

Remove parenthesis around (6 + 3a)
-5 + 4a + 6 + 3a = x

Reorder the terms:
-5 + 6 + 4a + 3a = x

Combine like terms: -5 + 6 = 1
1 + 4a + 3a = x

Combine like terms: 4a + 3a = 7a
1 + 7a = x

Solving
1 + 7a = x

Solving for variable 'a'.

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

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

Combine like terms: 1 + -1 = 0
0 + 7a = -1 + x
7a = -1 + x

Divide each side by '7'.
a = -0.1428571429 + 0.1428571429x

Simplifying
a = -0.1428571429 + 0.1428571429x

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