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

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

Solve for x

$$x=1$$

Steps for Solving Linear Equation

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

$$12-3x+1=2\left(3-x\right)+6$$

Add 12 and 1 to get 13.

$$13-3x=2\left(3-x\right)+6$$

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

$$13-3x=6-2x+6$$

Add 6 and 6 to get 12.

$$13-3x=12-2x$$

Add 2x to both sides.

$$13-3x+2x=12$$

Combine -3x and 2x to get -x.

$$13-x=12$$

Subtract 13 from both sides.

$$-x=12-13$$

Subtract 13 from 12 to get -1.

$$-x=-1$$

Multiply both sides by -1.

$$x=1$$