8x-2(3-4x)=x+1

Solution for 8x-2(3-4x)=x+1 equation:

Simplifying
8x + -2(3 + -4x) = x + 1
8x + (3 * -2 + -4x * -2) = x + 1
8x + (-6 + 8x) = x + 1

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

Combine like terms: 8x + 8x = 16x
-6 + 16x = x + 1

Reorder the terms:
-6 + 16x = 1 + x

Solving
-6 + 16x = 1 + 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.
-6 + 16x + -1x = 1 + x + -1x

Combine like terms: 16x + -1x = 15x
-6 + 15x = 1 + x + -1x

Combine like terms: x + -1x = 0
-6 + 15x = 1 + 0
-6 + 15x = 1

Add '6' to each side of the equation.
-6 + 6 + 15x = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 15x = 1 + 6
15x = 1 + 6

Combine like terms: 1 + 6 = 7
15x = 7

Divide each side by '15'.
x = 0.4666666667

Simplifying
x = 0.4666666667