6+5a-122(6+84-6x)-75*45x=

Solution for 6+5a-122(6+84-6x)-75*45x= equation:

Simplifying
6 + 5a + -122(6 + 84 + -6x) + -75 * 45x = 0

Combine like terms: 6 + 84 = 90
6 + 5a + -122(90 + -6x) + -75 * 45x = 0
6 + 5a + (90 * -122 + -6x * -122) + -75 * 45x = 0
6 + 5a + (-10980 + 732x) + -75 * 45x = 0

Multiply -75 * 45
6 + 5a + -10980 + 732x + -3375x = 0

Reorder the terms:
6 + -10980 + 5a + 732x + -3375x = 0

Combine like terms: 6 + -10980 = -10974
-10974 + 5a + 732x + -3375x = 0

Combine like terms: 732x + -3375x = -2643x
-10974 + 5a + -2643x = 0

Solving
-10974 + 5a + -2643x = 0

Solving for variable 'a'.

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

Add '10974' to each side of the equation.
-10974 + 5a + 10974 + -2643x = 0 + 10974

Reorder the terms:
-10974 + 10974 + 5a + -2643x = 0 + 10974

Combine like terms: -10974 + 10974 = 0
0 + 5a + -2643x = 0 + 10974
5a + -2643x = 0 + 10974

Combine like terms: 0 + 10974 = 10974
5a + -2643x = 10974

Add '2643x' to each side of the equation.
5a + -2643x + 2643x = 10974 + 2643x

Combine like terms: -2643x + 2643x = 0
5a + 0 = 10974 + 2643x
5a = 10974 + 2643x

Divide each side by '5'.
a = 2194.8 + 528.6x

Simplifying
a = 2194.8 + 528.6x