2(9x-1)=99-7(3-4w)

Solution for 2(9x-1)=99-7(3-4w) equation:

Simplifying
2(9x + -1) = 99 + -7(3 + -4w)

Reorder the terms:
2(-1 + 9x) = 99 + -7(3 + -4w)
(-1 * 2 + 9x * 2) = 99 + -7(3 + -4w)
(-2 + 18x) = 99 + -7(3 + -4w)
-2 + 18x = 99 + (3 * -7 + -4w * -7)
-2 + 18x = 99 + (-21 + 28w)

Combine like terms: 99 + -21 = 78
-2 + 18x = 78 + 28w

Solving
-2 + 18x = 78 + 28w

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 18x = 78 + 2 + 28w

Combine like terms: -2 + 2 = 0
0 + 18x = 78 + 2 + 28w
18x = 78 + 2 + 28w

Combine like terms: 78 + 2 = 80
18x = 80 + 28w

Divide each side by '18'.
x = 4.444444444 + 1.555555556w

Simplifying
x = 4.444444444 + 1.555555556w