4x-3(x-2)=17x-4

Solution for 4x-3(x-2)=17x-4 equation:

Simplifying
4x + -3(x + -2) = 17x + -4

Reorder the terms:
4x + -3(-2 + x) = 17x + -4
4x + (-2 * -3 + x * -3) = 17x + -4
4x + (6 + -3x) = 17x + -4

Reorder the terms:
6 + 4x + -3x = 17x + -4

Combine like terms: 4x + -3x = 1x
6 + 1x = 17x + -4

Reorder the terms:
6 + 1x = -4 + 17x

Solving
6 + 1x = -4 + 17x

Solving for variable 'x'.

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

Add '-17x' to each side of the equation.
6 + 1x + -17x = -4 + 17x + -17x

Combine like terms: 1x + -17x = -16x
6 + -16x = -4 + 17x + -17x

Combine like terms: 17x + -17x = 0
6 + -16x = -4 + 0
6 + -16x = -4

Add '-6' to each side of the equation.
6 + -6 + -16x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -16x = -4 + -6
-16x = -4 + -6

Combine like terms: -4 + -6 = -10
-16x = -10

Divide each side by '-16'.
x = 0.625

Simplifying
x = 0.625