Solve -3(2x+7)+(-5+6)-8(1-2x)-(x-3)=0

$$-3(2x+7)+(-5+6)-8(1-2x)-(x-3)=0$$

Solve for x

$$x = \frac{25}{9} = 2\frac{7}{9} \approx 2.777777778$$

Steps for Solving Linear Equation

Use the distributive property to multiply -3 by 2x+7.

$$-6x-21-5+6-8\left(1-2x\right)-\left(x-3\right)=0$$

Subtract 5 from -21 to get -26.

$$-6x-26+6-8\left(1-2x\right)-\left(x-3\right)=0$$

Add -26 and 6 to get -20.

$$-6x-20-8\left(1-2x\right)-\left(x-3\right)=0$$

Use the distributive property to multiply -8 by 1-2x.

$$-6x-20-8+16x-\left(x-3\right)=0$$

Subtract 8 from -20 to get -28.

$$-6x-28+16x-\left(x-3\right)=0$$

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

$$10x-28-\left(x-3\right)=0$$

To find the opposite of x-3, find the opposite of each term.

$$10x-28-x-\left(-3\right)=0$$

The opposite of -3 is 3.

$$10x-28-x+3=0$$

Combine 10x and -x to get 9x.

$$9x-28+3=0$$

Add -28 and 3 to get -25.

$$9x-25=0$$

Add 25 to both sides. Anything plus zero gives itself.

$$9x=25$$

Divide both sides by 9.

$$x=\frac{25}{9}$$