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

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

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

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

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

Reorder the terms:
-2 + 6 + 8x + 3x = 1

Combine like terms: -2 + 6 = 4
4 + 8x + 3x = 1

Combine like terms: 8x + 3x = 11x
4 + 11x = 1

Solving
4 + 11x = 1

Solving for variable 'x'.

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

Add '-4' to each side of the equation.
4 + -4 + 11x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + 11x = 1 + -4
11x = 1 + -4

Combine like terms: 1 + -4 = -3
11x = -3

Divide each side by '11'.
x = -0.2727272727

Simplifying
x = -0.2727272727