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

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

Solve for x

$$x = -\frac{11}{8} = -1\frac{3}{8} = -1.375$$

Steps for Solving Linear Equation

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

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

Combine 6x and -5x to get x.

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

Add 21 and 6 to get 27.

$$x+27-8\left(1-2x\right)-\left(x-3\right)=0$$

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

$$x+27-8+16x-\left(x-3\right)=0$$

Subtract 8 from 27 to get 19.

$$x+19+16x-\left(x-3\right)=0$$

Combine x and 16x to get 17x.

$$17x+19-\left(x-3\right)=0$$

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

$$17x+19-x-\left(-3\right)=0$$

The opposite of -3 is 3.

$$17x+19-x+3=0$$

Combine 17x and -x to get 16x.

$$16x+19+3=0$$

Add 19 and 3 to get 22.

$$16x+22=0$$

Subtract 22 from both sides. Anything subtracted from zero gives its negation.

$$16x=-22$$

Divide both sides by 16.

$$x=\frac{-22}{16}$$

Reduce the fraction \frac{-22}{16} to lowest terms by extracting and canceling out 2.

$$x=-\frac{11}{8}$$