47-(2x+5)=3(x+2)+x

Solution for 47-(2x+5)=3(x+2)+x equation:

Simplifying
47 + -1(2x + 5) = 3(x + 2) + x

Reorder the terms:
47 + -1(5 + 2x) = 3(x + 2) + x
47 + (5 * -1 + 2x * -1) = 3(x + 2) + x
47 + (-5 + -2x) = 3(x + 2) + x

Combine like terms: 47 + -5 = 42
42 + -2x = 3(x + 2) + x

Reorder the terms:
42 + -2x = 3(2 + x) + x
42 + -2x = (2 * 3 + x * 3) + x
42 + -2x = (6 + 3x) + x

Combine like terms: 3x + x = 4x
42 + -2x = 6 + 4x

Solving
42 + -2x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
42 + -2x + -4x = 6 + 4x + -4x

Combine like terms: -2x + -4x = -6x
42 + -6x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
42 + -6x = 6 + 0
42 + -6x = 6

Add '-42' to each side of the equation.
42 + -42 + -6x = 6 + -42

Combine like terms: 42 + -42 = 0
0 + -6x = 6 + -42
-6x = 6 + -42

Combine like terms: 6 + -42 = -36
-6x = -36

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

Simplifying
x = 6