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

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

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

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

Combine like terms: 7 + 3 = 10
10 + -2x + x = x + -1 + -3(2x + 1)

Combine like terms: -2x + x = -1x
10 + -1x = x + -1 + -3(2x + 1)

Reorder the terms:
10 + -1x = x + -1 + -3(1 + 2x)
10 + -1x = x + -1 + (1 * -3 + 2x * -3)
10 + -1x = x + -1 + (-3 + -6x)

Reorder the terms:
10 + -1x = -1 + -3 + x + -6x

Combine like terms: -1 + -3 = -4
10 + -1x = -4 + x + -6x

Combine like terms: x + -6x = -5x
10 + -1x = -4 + -5x

Solving
10 + -1x = -4 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
10 + -1x + 5x = -4 + -5x + 5x

Combine like terms: -1x + 5x = 4x
10 + 4x = -4 + -5x + 5x

Combine like terms: -5x + 5x = 0
10 + 4x = -4 + 0
10 + 4x = -4

Add '-10' to each side of the equation.
10 + -10 + 4x = -4 + -10

Combine like terms: 10 + -10 = 0
0 + 4x = -4 + -10
4x = -4 + -10

Combine like terms: -4 + -10 = -14
4x = -14

Divide each side by '4'.
x = -3.5

Simplifying
x = -3.5