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

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

Solve for x

$$x = \frac{48}{5} = 9\frac{3}{5} = 9.6$$

Steps for Solving Linear Equation

Use the distributive property to multiply -9 by x-4.

$$5x-9x+36=x-12$$

Combine 5x and -9x to get -4x.

$$-4x+36=x-12$$

Subtract x from both sides.

$$-4x+36-x=-12$$

Combine -4x and -x to get -5x.

$$-5x+36=-12$$

Subtract 36 from both sides.

$$-5x=-12-36$$

Subtract 36 from -12 to get -48.

$$-5x=-48$$

Divide both sides by -5.

$$x=\frac{-48}{-5}$$

Fraction \frac{-48}{-5} can be simplified to \frac{48}{5} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{48}{5}$$