Solve 10x+3(x-4)=4(x+1)+6

$$10 x + 3 ( x - 4 ) = 4 ( x + 1 ) + 6$$

Solve for x

$$x = \frac{22}{9} = 2\frac{4}{9} \approx 2.444444444$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x-4.

$$10x+3x-12=4\left(x+1\right)+6$$

Combine 10x and 3x to get 13x.

$$13x-12=4\left(x+1\right)+6$$

Use the distributive property to multiply 4 by x+1.

$$13x-12=4x+4+6$$

Add 4 and 6 to get 10.

$$13x-12=4x+10$$

Subtract 4x from both sides.

$$13x-12-4x=10$$

Combine 13x and -4x to get 9x.

$$9x-12=10$$

Add 12 to both sides.

$$9x=10+12$$

Add 10 and 12 to get 22.

$$9x=22$$

Divide both sides by 9.

$$x=\frac{22}{9}$$