2(9x-50)=3-3(x+8)

Solution for 2(9x-50)=3-3(x+8) equation:

Simplifying
2(9x + -50) = 3 + -3(x + 8)

Reorder the terms:
2(-50 + 9x) = 3 + -3(x + 8)
(-50 * 2 + 9x * 2) = 3 + -3(x + 8)
(-100 + 18x) = 3 + -3(x + 8)

Reorder the terms:
-100 + 18x = 3 + -3(8 + x)
-100 + 18x = 3 + (8 * -3 + x * -3)
-100 + 18x = 3 + (-24 + -3x)

Combine like terms: 3 + -24 = -21
-100 + 18x = -21 + -3x

Solving
-100 + 18x = -21 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-100 + 18x + 3x = -21 + -3x + 3x

Combine like terms: 18x + 3x = 21x
-100 + 21x = -21 + -3x + 3x

Combine like terms: -3x + 3x = 0
-100 + 21x = -21 + 0
-100 + 21x = -21

Add '100' to each side of the equation.
-100 + 100 + 21x = -21 + 100

Combine like terms: -100 + 100 = 0
0 + 21x = -21 + 100
21x = -21 + 100

Combine like terms: -21 + 100 = 79
21x = 79

Divide each side by '21'.
x = 3.761904762

Simplifying
x = 3.761904762