Solve 4(3+x)+10=-11(x-6)+1

$$4 ( 3 + x ) + 10 = - 11 ( x - 6 ) + 1$$

Solve for x

$$x=3$$

Steps for Solving Linear Equation

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

$$12+4x+10=-11\left(x-6\right)+1$$

Add 12 and 10 to get 22.

$$22+4x=-11\left(x-6\right)+1$$

Use the distributive property to multiply -11 by x-6.

$$22+4x=-11x+66+1$$

Add 66 and 1 to get 67.

$$22+4x=-11x+67$$

Add 11x to both sides.

$$22+4x+11x=67$$

Combine 4x and 11x to get 15x.

$$22+15x=67$$

Subtract 22 from both sides.

$$15x=67-22$$

Subtract 22 from 67 to get 45.

$$15x=45$$

Divide both sides by 15.

$$x=\frac{45}{15}$$

Divide 45 by 15 to get 3.

$$x=3$$