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

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

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

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

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

Combine like terms: -8 + 3 = -5
-5 + 2x = 3(x + 1) + 1

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

Reorder the terms:
-5 + 2x = 3 + 1 + 3x

Combine like terms: 3 + 1 = 4
-5 + 2x = 4 + 3x

Solving
-5 + 2x = 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.
-5 + 2x + -3x = 4 + 3x + -3x

Combine like terms: 2x + -3x = -1x
-5 + -1x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + -1x = 4 + 0
-5 + -1x = 4

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

Combine like terms: -5 + 5 = 0
0 + -1x = 4 + 5
-1x = 4 + 5

Combine like terms: 4 + 5 = 9
-1x = 9

Divide each side by '-1'.
x = -9

Simplifying
x = -9