Solve 10(x+3)-(-9x-4)=x

$$10 ( x + 3 ) - ( - 9 x - 4 ) = x$$

Solve for x

$$x = -\frac{17}{9} = -1\frac{8}{9} \approx -1.888888889$$

Steps for Solving Linear Equation

Use the distributive property to multiply 10 by x+3.

$$10x+30-\left(-9x-4\right)=x$$

To find the opposite of -9x-4, find the opposite of each term.

$$10x+30-\left(-9x\right)-\left(-4\right)=x$$

The opposite of -9x is 9x.

$$10x+30+9x-\left(-4\right)=x$$

The opposite of -4 is 4.

$$10x+30+9x+4=x$$

Combine 10x and 9x to get 19x.

$$19x+30+4=x$$

Add 30 and 4 to get 34.

$$19x+34=x$$

Subtract x from both sides.

$$19x+34-x=0$$

Combine 19x and -x to get 18x.

$$18x+34=0$$

Subtract 34 from both sides. Anything subtracted from zero gives its negation.

$$18x=-34$$

Divide both sides by 18.

$$x=\frac{-34}{18}$$

Reduce the fraction \frac{-34}{18} to lowest terms by extracting and canceling out 2.

$$x=-\frac{17}{9}$$