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

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

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

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

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

Reorder the terms:
6 + -4x = 3 + 1 + 3x

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

Solving
6 + -4x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6 + -4x + -3x = 4 + 3x + -3x

Combine like terms: -4x + -3x = -7x
6 + -7x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -7x = 4 + 0
6 + -7x = 4

Add '-6' to each side of the equation.
6 + -6 + -7x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = 4 + -6
-7x = 4 + -6

Combine like terms: 4 + -6 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857