3(x-2)+x=4(x-5)+14

Solution for 3(x-2)+x=4(x-5)+14 equation:

Simplifying
3(x + -2) + x = 4(x + -5) + 14

Reorder the terms:
3(-2 + x) + x = 4(x + -5) + 14
(-2 * 3 + x * 3) + x = 4(x + -5) + 14
(-6 + 3x) + x = 4(x + -5) + 14

Combine like terms: 3x + x = 4x
-6 + 4x = 4(x + -5) + 14

Reorder the terms:
-6 + 4x = 4(-5 + x) + 14
-6 + 4x = (-5 * 4 + x * 4) + 14
-6 + 4x = (-20 + 4x) + 14

Reorder the terms:
-6 + 4x = -20 + 14 + 4x

Combine like terms: -20 + 14 = -6
-6 + 4x = -6 + 4x

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

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

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

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.