Solve 5(x-9)=8(x+7)-x

$$5 ( x - 9 ) = 8 ( x + 7 ) - x$$

Solve for x

$$x = -\frac{101}{2} = -50\frac{1}{2} = -50.5$$

Steps for Solving Linear Equation

Use the distributive property to multiply 5 by x-9.

$$5x-45=8\left(x+7\right)-x$$

Use the distributive property to multiply 8 by x+7.

$$5x-45=8x+56-x$$

Combine 8x and -x to get 7x.

$$5x-45=7x+56$$

Subtract 7x from both sides.

$$5x-45-7x=56$$

Combine 5x and -7x to get -2x.

$$-2x-45=56$$

Add 45 to both sides.

$$-2x=56+45$$

Add 56 and 45 to get 101.

$$-2x=101$$

Divide both sides by -2.

$$x=\frac{101}{-2}$$

Fraction \frac{101}{-2} can be rewritten as -\frac{101}{2} by extracting the negative sign.

$$x=-\frac{101}{2}$$