Solve x*(8+74)-(x-2)=x/5*9

$$x \cdot ( 8 + 74 ) - ( x - 2 ) = \frac { x } { 5 } \cdot 9$$

Solve for x

$$x=-\frac{5}{198}\approx -0.025252525$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5.

$$5x\left(8+74\right)-5\left(x-2\right)=x\times 9$$

Add 8 and 74 to get 82.

$$5x\times 82-5\left(x-2\right)=x\times 9$$

Multiply 5 and 82 to get 410.

$$410x-5\left(x-2\right)=x\times 9$$

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

$$410x-5x+10=x\times 9$$

Combine 410x and -5x to get 405x.

$$405x+10=x\times 9$$

Subtract x\times 9 from both sides.

$$405x+10-x\times 9=0$$

Combine 405x and -x\times 9 to get 396x.

$$396x+10=0$$

Subtract 10 from both sides. Anything subtracted from zero gives its negation.

$$396x=-10$$

Divide both sides by 396.

$$x=\frac{-10}{396}$$

Reduce the fraction \frac{-10}{396} to lowest terms by extracting and canceling out 2.

$$x=-\frac{5}{198}$$