Solve 69x-64=(9x-2x+28)/-7-(14x+4)

$$69 x - 64 = \frac { ( 9 x - 2 x + 28 ) } { - 7 } - ( 14 x + 4 )$$

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

Multiply both sides of the equation by -7.

$$-483x+448=9x-2x+28+7\left(14x+4\right)$$

Combine 9x and -2x to get 7x.

$$-483x+448=7x+28+7\left(14x+4\right)$$

Use the distributive property to multiply 7 by 14x+4.

$$-483x+448=7x+28+98x+28$$

Combine 7x and 98x to get 105x.

$$-483x+448=105x+28+28$$

Add 28 and 28 to get 56.

$$-483x+448=105x+56$$

Subtract 105x from both sides.

$$-483x+448-105x=56$$

Combine -483x and -105x to get -588x.

$$-588x+448=56$$

Subtract 448 from both sides.

$$-588x=56-448$$

Subtract 448 from 56 to get -392.

$$-588x=-392$$

Divide both sides by -588.

$$x=\frac{-392}{-588}$$

Reduce the fraction \frac{-392}{-588} to lowest terms by extracting and canceling out -196.

$$x=\frac{2}{3}$$