Solve 6(x+1)+9(x-5)=3(4x+2)

$$6 ( x + 1 ) + 9 ( x - 5 ) = 3 ( 4 x + 2 )$$

Solve for x

$$x=15$$

Steps for Solving Linear Equation

Use the distributive property to multiply 6 by x+1.

$$6x+6+9\left(x-5\right)=3\left(4x+2\right)$$

Use the distributive property to multiply 9 by x-5.

$$6x+6+9x-45=3\left(4x+2\right)$$

Combine 6x and 9x to get 15x.

$$15x+6-45=3\left(4x+2\right)$$

Subtract 45 from 6 to get -39.

$$15x-39=3\left(4x+2\right)$$

Use the distributive property to multiply 3 by 4x+2.

$$15x-39=12x+6$$

Subtract 12x from both sides.

$$15x-39-12x=6$$

Combine 15x and -12x to get 3x.

$$3x-39=6$$

Add 39 to both sides.

$$3x=6+39$$

Add 6 and 39 to get 45.

$$3x=45$$

Divide both sides by 3.

$$x=\frac{45}{3}$$

Divide 45 by 3 to get 15.

$$x=15$$