Solve 4x+9-9(x-1)=3(x+5)

$$4 x + 9 - 9 ( x - 1 ) = 3 ( x + 5 )$$

Solve for x

$$x=\frac{3}{8}=0.375$$

Steps for Solving Linear Equation

Use the distributive property to multiply -9 by x-1.

$$4x+9-9x+9=3\left(x+5\right)$$

Combine 4x and -9x to get -5x.

$$-5x+9+9=3\left(x+5\right)$$

Add 9 and 9 to get 18.

$$-5x+18=3\left(x+5\right)$$

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

$$-5x+18=3x+15$$

Subtract 3x from both sides.

$$-5x+18-3x=15$$

Combine -5x and -3x to get -8x.

$$-8x+18=15$$

Subtract 18 from both sides.

$$-8x=15-18$$

Subtract 18 from 15 to get -3.

$$-8x=-3$$

Divide both sides by -8.

$$x=\frac{-3}{-8}$$

Fraction \frac{-3}{-8} can be simplified to \frac{3}{8} by removing the negative sign from both the numerator and the denominator.

$$x=\frac{3}{8}$$