Solve 3(x+1)+(3-x)=7-3(1-x)

$$3 ( x + 1 ) + ( 3 - x ) = 7 - 3 ( 1 - x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

Use the distributive property to multiply 3 by x+1.

$$3x+3+3-x=7-3\left(1-x\right)$$

Add 3 and 3 to get 6.

$$3x+6-x=7-3\left(1-x\right)$$

Combine 3x and -x to get 2x.

$$2x+6=7-3\left(1-x\right)$$

Use the distributive property to multiply -3 by 1-x.

$$2x+6=7-3+3x$$

Subtract 3 from 7 to get 4.

$$2x+6=4+3x$$

Subtract 3x from both sides.

$$2x+6-3x=4$$

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

$$-x+6=4$$

Subtract 6 from both sides.

$$-x=4-6$$

Subtract 6 from 4 to get -2.

$$-x=-2$$

Multiply both sides by -1.

$$x=2$$