Solve 9(-1-2x)+12(x-3)=7-2(9-5x

$$9 ( - 1 - 2 x ) + 12 ( x - 3 ) = 7 - 2 ( 9 - 5 x$$

Solve for x

$$x = -\frac{17}{8} = -2\frac{1}{8} = -2.125$$

Steps for Solving Linear Equation

Use the distributive property to multiply 9 by -1-2x.

$$-9-18x+12\left(x-3\right)=7-2\left(9-5x\right)$$

Use the distributive property to multiply 12 by x-3.

$$-9-18x+12x-36=7-2\left(9-5x\right)$$

Combine -18x and 12x to get -6x.

$$-9-6x-36=7-2\left(9-5x\right)$$

Subtract 36 from -9 to get -45.

$$-45-6x=7-2\left(9-5x\right)$$

Use the distributive property to multiply -2 by 9-5x.

$$-45-6x=7-18+10x$$

Subtract 18 from 7 to get -11.

$$-45-6x=-11+10x$$

Subtract 10x from both sides.

$$-45-6x-10x=-11$$

Combine -6x and -10x to get -16x.

$$-45-16x=-11$$

Add 45 to both sides.

$$-16x=-11+45$$

Add -11 and 45 to get 34.

$$-16x=34$$

Divide both sides by -16.

$$x=\frac{34}{-16}$$

Reduce the fraction \frac{34}{-16} to lowest terms by extracting and canceling out 2.

$$x=-\frac{17}{8}$$