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

Solution for x-2(x-3)=19-3(x+1) equation:

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

Reorder the terms:
x + -2(-3 + x) = 19 + -3(x + 1)
x + (-3 * -2 + x * -2) = 19 + -3(x + 1)
x + (6 + -2x) = 19 + -3(x + 1)

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

Combine like terms: x + -2x = -1x
6 + -1x = 19 + -3(x + 1)

Reorder the terms:
6 + -1x = 19 + -3(1 + x)
6 + -1x = 19 + (1 * -3 + x * -3)
6 + -1x = 19 + (-3 + -3x)

Combine like terms: 19 + -3 = 16
6 + -1x = 16 + -3x

Solving
6 + -1x = 16 + -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 = 16 + -3x + 3x

Combine like terms: -1x + 3x = 2x
6 + 2x = 16 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 2x = 16 + 0
6 + 2x = 16

Add '-6' to each side of the equation.
6 + -6 + 2x = 16 + -6

Combine like terms: 6 + -6 = 0
0 + 2x = 16 + -6
2x = 16 + -6

Combine like terms: 16 + -6 = 10
2x = 10

Divide each side by '2'.
x = 5

Simplifying
x = 5