Solve -6-7(8x-4)=-(7-9x)-(x-9)

$$- 6 - 7 ( 8 x - 4 ) = - ( 7 - 9 x ) - ( x - 9 )$$

Solve for x

$$x=\frac{5}{16}=0.3125$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by 8x-4.

$$-6-56x+28=-\left(7-9x\right)-\left(x-9\right)$$

Add -6 and 28 to get 22.

$$22-56x=-\left(7-9x\right)-\left(x-9\right)$$

To find the opposite of 7-9x, find the opposite of each term.

$$22-56x=-7-\left(-9x\right)-\left(x-9\right)$$

The opposite of -9x is 9x.

$$22-56x=-7+9x-\left(x-9\right)$$

To find the opposite of x-9, find the opposite of each term.

$$22-56x=-7+9x-x-\left(-9\right)$$

The opposite of -9 is 9.

$$22-56x=-7+9x-x+9$$

Combine 9x and -x to get 8x.

$$22-56x=-7+8x+9$$

Add -7 and 9 to get 2.

$$22-56x=2+8x$$

Subtract 8x from both sides.

$$22-56x-8x=2$$

Combine -56x and -8x to get -64x.

$$22-64x=2$$

Subtract 22 from both sides.

$$-64x=2-22$$

Subtract 22 from 2 to get -20.

$$-64x=-20$$

Divide both sides by -64.

$$x=\frac{-20}{-64}$$

Reduce the fraction \frac{-20}{-64} to lowest terms by extracting and canceling out -4.

$$x=\frac{5}{16}$$