2x+1-3x+5=3(x+10)

Solution for 2x+1-3x+5=3(x+10) equation:

Simplifying
2x + 1 + -3x + 5 = 3(x + 10)

Reorder the terms:
1 + 5 + 2x + -3x = 3(x + 10)

Combine like terms: 1 + 5 = 6
6 + 2x + -3x = 3(x + 10)

Combine like terms: 2x + -3x = -1x
6 + -1x = 3(x + 10)

Reorder the terms:
6 + -1x = 3(10 + x)
6 + -1x = (10 * 3 + x * 3)
6 + -1x = (30 + 3x)

Solving
6 + -1x = 30 + 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 + -1x + -3x = 30 + 3x + -3x

Combine like terms: -1x + -3x = -4x
6 + -4x = 30 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + -4x = 30 + 0
6 + -4x = 30

Add '-6' to each side of the equation.
6 + -6 + -4x = 30 + -6

Combine like terms: 6 + -6 = 0
0 + -4x = 30 + -6
-4x = 30 + -6

Combine like terms: 30 + -6 = 24
-4x = 24

Divide each side by '-4'.
x = -6

Simplifying
x = -6