2(4x-3)+1=x

Solution for 2(4x-3)+1=x equation:

Simplifying
2(4x + -3) + 1 = x

Reorder the terms:
2(-3 + 4x) + 1 = x
(-3 * 2 + 4x * 2) + 1 = x
(-6 + 8x) + 1 = x

Reorder the terms:
-6 + 1 + 8x = x

Combine like terms: -6 + 1 = -5
-5 + 8x = x

Solving
-5 + 8x = 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.
-5 + 8x + -1x = x + -1x

Combine like terms: 8x + -1x = 7x
-5 + 7x = x + -1x

Combine like terms: x + -1x = 0
-5 + 7x = 0

Add '5' to each side of the equation.
-5 + 5 + 7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 0 + 5
7x = 0 + 5

Combine like terms: 0 + 5 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143