Solve x-19-3(x-2)=3(4-x)

$$x - 19 - 3 ( x - 2 ) = 3 ( 4 - x )$$

Solve for x

$$x=25$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by x-2.

$$x-19-3x+6=3\left(4-x\right)$$

Combine x and -3x to get -2x.

$$-2x-19+6=3\left(4-x\right)$$

Add -19 and 6 to get -13.

$$-2x-13=3\left(4-x\right)$$

Use the distributive property to multiply 3 by 4-x.

$$-2x-13=12-3x$$

Add 3x to both sides.

$$-2x-13+3x=12$$

Combine -2x and 3x to get x.

$$x-13=12$$

Add 13 to both sides.

$$x=12+13$$

Add 12 and 13 to get 25.

$$x=25$$