7x-2(x+3)=19

Solution for 7x-2(x+3)=19 equation:

Simplifying
7x + -2(x + 3) = 19

Reorder the terms:
7x + -2(3 + x) = 19
7x + (3 * -2 + x * -2) = 19
7x + (-6 + -2x) = 19

Reorder the terms:
-6 + 7x + -2x = 19

Combine like terms: 7x + -2x = 5x
-6 + 5x = 19

Solving
-6 + 5x = 19

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 5x = 19 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 19 + 6
5x = 19 + 6

Combine like terms: 19 + 6 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5