6-4(4x+1)=x+34

Solution for 6-4(4x+1)=x+34 equation:

Simplifying
6 + -4(4x + 1) = x + 34

Reorder the terms:
6 + -4(1 + 4x) = x + 34
6 + (1 * -4 + 4x * -4) = x + 34
6 + (-4 + -16x) = x + 34

Combine like terms: 6 + -4 = 2
2 + -16x = x + 34

Reorder the terms:
2 + -16x = 34 + x

Solving
2 + -16x = 34 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + -16x + -1x = 34 + x + -1x

Combine like terms: -16x + -1x = -17x
2 + -17x = 34 + x + -1x

Combine like terms: x + -1x = 0
2 + -17x = 34 + 0
2 + -17x = 34

Add '-2' to each side of the equation.
2 + -2 + -17x = 34 + -2

Combine like terms: 2 + -2 = 0
0 + -17x = 34 + -2
-17x = 34 + -2

Combine like terms: 34 + -2 = 32
-17x = 32

Divide each side by '-17'.
x = -1.882352941

Simplifying
x = -1.882352941