3(5x+2)+4x=-(-x+1)

Solution for 3(5x+2)+4x=-(-x+1) equation:

Simplifying
3(5x + 2) + 4x = -1(-1x + 1)

Reorder the terms:
3(2 + 5x) + 4x = -1(-1x + 1)
(2 * 3 + 5x * 3) + 4x = -1(-1x + 1)
(6 + 15x) + 4x = -1(-1x + 1)

Combine like terms: 15x + 4x = 19x
6 + 19x = -1(-1x + 1)

Reorder the terms:
6 + 19x = -1(1 + -1x)
6 + 19x = (1 * -1 + -1x * -1)
6 + 19x = (-1 + 1x)

Solving
6 + 19x = -1 + 1x

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 + 19x + -1x = -1 + 1x + -1x

Combine like terms: 19x + -1x = 18x
6 + 18x = -1 + 1x + -1x

Combine like terms: 1x + -1x = 0
6 + 18x = -1 + 0
6 + 18x = -1

Add '-6' to each side of the equation.
6 + -6 + 18x = -1 + -6

Combine like terms: 6 + -6 = 0
0 + 18x = -1 + -6
18x = -1 + -6

Combine like terms: -1 + -6 = -7
18x = -7

Divide each side by '18'.
x = -0.3888888889

Simplifying
x = -0.3888888889