2-(x-1)+3(2x+1)=-7

Solution for 2-(x-1)+3(2x+1)=-7 equation:

Simplifying
2 + -1(x + -1) + 3(2x + 1) = -7

Reorder the terms:
2 + -1(-1 + x) + 3(2x + 1) = -7
2 + (-1 * -1 + x * -1) + 3(2x + 1) = -7
2 + (1 + -1x) + 3(2x + 1) = -7

Reorder the terms:
2 + 1 + -1x + 3(1 + 2x) = -7
2 + 1 + -1x + (1 * 3 + 2x * 3) = -7
2 + 1 + -1x + (3 + 6x) = -7

Reorder the terms:
2 + 1 + 3 + -1x + 6x = -7

Combine like terms: 2 + 1 = 3
3 + 3 + -1x + 6x = -7

Combine like terms: 3 + 3 = 6
6 + -1x + 6x = -7

Combine like terms: -1x + 6x = 5x
6 + 5x = -7

Solving
6 + 5x = -7

Solving for variable 'x'.

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

Add '-6' to each side of the equation.
6 + -6 + 5x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 5x = -7 + -6
5x = -7 + -6

Combine like terms: -7 + -6 = -13
5x = -13

Divide each side by '5'.
x = -2.6

Simplifying
x = -2.6