Answer
x=50
Work Step by Step
Simplifying
6(17 + -1x) = 2 + -4x
(17 * 6 + -1x * 6) = 2 + -4x
(102 + -6x) = 2 + -4x
Solving
102 + -6x = 2 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
102 + -6x + 4x = 2 + -4x + 4x
Combine like terms: -6x + 4x = -2x
102 + -2x = 2 + -4x + 4x
Combine like terms: -4x + 4x = 0
102 + -2x = 2 + 0
102 + -2x = 2
Add '-102' to each side of the equation.
102 + -102 + -2x = 2 + -102
Combine like terms: 102 + -102 = 0
0 + -2x = 2 + -102
-2x = 2 + -102
Combine like terms: 2 + -102 = -100
-2x = -100
Divide each side by '-2'.
x = 50
Simplifying
x = 50