Solve (4*x+3)*5=9*x-17

$$( 4 \cdot x + 3 ) \cdot 5 = 9 \cdot x - 17$$

Solve for x

$$x = -\frac{32}{11} = -2\frac{10}{11} \approx -2.909090909$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4x+3 by 5.

$$20x+15=9x-17$$

Subtract 9x from both sides.

$$20x+15-9x=-17$$

Combine 20x and -9x to get 11x.

$$11x+15=-17$$

Subtract 15 from both sides.

$$11x=-17-15$$

Subtract 15 from -17 to get -32.

$$11x=-32$$

Divide both sides by 11.

$$x=\frac{-32}{11}$$

Fraction \frac{-32}{11} can be rewritten as -\frac{32}{11} by extracting the negative sign.

$$x=-\frac{32}{11}$$