3(x+2)=8x+1

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

Simplifying
3(x + 2) = 8x + 1

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

Reorder the terms:
6 + 3x = 1 + 8x

Solving
6 + 3x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
6 + 3x + -8x = 1 + 8x + -8x

Combine like terms: 3x + -8x = -5x
6 + -5x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
6 + -5x = 1 + 0
6 + -5x = 1

Add '-6' to each side of the equation.
6 + -6 + -5x = 1 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 1 + -6
-5x = 1 + -6

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1