3(x-2)+1=2(-4)+x+13

Solution for 3(x-2)+1=2(-4)+x+13 equation:

Simplifying
3(x + -2) + 1 = 2(-4) + x + 13

Reorder the terms:
3(-2 + x) + 1 = 2(-4) + x + 13
(-2 * 3 + x * 3) + 1 = 2(-4) + x + 13
(-6 + 3x) + 1 = 2(-4) + x + 13

Reorder the terms:
-6 + 1 + 3x = 2(-4) + x + 13

Combine like terms: -6 + 1 = -5
-5 + 3x = 2(-4) + x + 13

Multiply 2 * -4
-5 + 3x = -8 + x + 13

Reorder the terms:
-5 + 3x = -8 + 13 + x

Combine like terms: -8 + 13 = 5
-5 + 3x = 5 + x

Solving
-5 + 3x = 5 + x

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.
-5 + 3x + -1x = 5 + x + -1x

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

Combine like terms: x + -1x = 0
-5 + 2x = 5 + 0
-5 + 2x = 5

Add '5' to each side of the equation.
-5 + 5 + 2x = 5 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 5 + 5
2x = 5 + 5

Combine like terms: 5 + 5 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5