Solve 9-(x-4)-5x=x-12

$$9 - ( x - 4 ) - 5 x = x - 12$$

Solve for x

$$x = \frac{25}{7} = 3\frac{4}{7} \approx 3.571428571$$

Steps for Solving Linear Equation

To find the opposite of x-4, find the opposite of each term.

$$9-x-\left(-4\right)-5x=x-12$$

The opposite of -4 is 4.

$$9-x+4-5x=x-12$$

Add 9 and 4 to get 13.

$$13-x-5x=x-12$$

Combine -x and -5x to get -6x.

$$13-6x=x-12$$

Subtract x from both sides.

$$13-6x-x=-12$$

Combine -6x and -x to get -7x.

$$13-7x=-12$$

Subtract 13 from both sides.

$$-7x=-12-13$$

Subtract 13 from -12 to get -25.

$$-7x=-25$$

Divide both sides by -7.

$$x=\frac{-25}{-7}$$

Fraction \frac{-25}{-7} can be simplified to \frac{25}{7} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{25}{7}$$