19-(2x+3)=2(x+3)+x

Solution for 19-(2x+3)=2(x+3)+x equation:

Simplifying
19 + -1(2x + 3) = 2(x + 3) + x

Reorder the terms:
19 + -1(3 + 2x) = 2(x + 3) + x
19 + (3 * -1 + 2x * -1) = 2(x + 3) + x
19 + (-3 + -2x) = 2(x + 3) + x

Combine like terms: 19 + -3 = 16
16 + -2x = 2(x + 3) + x

Reorder the terms:
16 + -2x = 2(3 + x) + x
16 + -2x = (3 * 2 + x * 2) + x
16 + -2x = (6 + 2x) + x

Combine like terms: 2x + x = 3x
16 + -2x = 6 + 3x

Solving
16 + -2x = 6 + 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.
16 + -2x + -3x = 6 + 3x + -3x

Combine like terms: -2x + -3x = -5x
16 + -5x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
16 + -5x = 6 + 0
16 + -5x = 6

Add '-16' to each side of the equation.
16 + -16 + -5x = 6 + -16

Combine like terms: 16 + -16 = 0
0 + -5x = 6 + -16
-5x = 6 + -16

Combine like terms: 6 + -16 = -10
-5x = -10

Divide each side by '-5'.
x = 2

Simplifying
x = 2