Solve -7(9x-5)=-8

$$- 7 ( 9 x - 5 ) = - 8$$

Solve for x

$$x=\frac{43}{63}\approx 0.682539683$$

Steps for Solving Linear Equation

Divide both sides by -7.

$$9x-5=\frac{-8}{-7}$$

Fraction \frac{-8}{-7} can be simplified to \frac{8}{7} by removing the negative sign from both the numerator and the denominator.

$$9x-5=\frac{8}{7}$$

Add 5 to both sides.

$$9x=\frac{8}{7}+5$$

Convert 5 to fraction \frac{35}{7}.

$$9x=\frac{8}{7}+\frac{35}{7}$$

Since \frac{8}{7} and \frac{35}{7} have the same denominator, add them by adding their numerators.

$$9x=\frac{8+35}{7}$$

Add 8 and 35 to get 43.

$$9x=\frac{43}{7}$$

Divide both sides by 9.

$$x=\frac{\frac{43}{7}}{9}$$

Express \frac{\frac{43}{7}}{9} as a single fraction.

$$x=\frac{43}{7\times 9}$$

Multiply 7 and 9 to get 63.

$$x=\frac{43}{63}$$