Solve 4(x+9)+3(x-2)=16x

$$4 ( x + 9 ) + 3 ( x - 2 ) = 16 x$$

Solve for x

$$x = \frac{10}{3} = 3\frac{1}{3} \approx 3.333333333$$

Steps for Solving Linear Equation

Use the distributive property to multiply 4 by x+9.

$$4x+36+3\left(x-2\right)=16x$$

Use the distributive property to multiply 3 by x-2.

$$4x+36+3x-6=16x$$

Combine 4x and 3x to get 7x.

$$7x+36-6=16x$$

Subtract 6 from 36 to get 30.

$$7x+30=16x$$

Subtract 16x from both sides.

$$7x+30-16x=0$$

Combine 7x and -16x to get -9x.

$$-9x+30=0$$

Subtract 30 from both sides. Anything subtracted from zero gives its negation.

$$-9x=-30$$

Divide both sides by -9.

$$x=\frac{-30}{-9}$$

Reduce the fraction \frac{-30}{-9} to lowest terms by extracting and canceling out -3.

$$x=\frac{10}{3}$$