Solve 3(x-1)+7=4x+2-3(2-x)

$$3 ( x - 1 ) + 7 = 4 x + 2 - 3 ( 2 - x )$$

Solve for x

$$x=2$$

Steps for Solving Linear Equation

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

$$3x-3+7=4x+2-3\left(2-x\right)$$

Add -3 and 7 to get 4.

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

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

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

Subtract 6 from 2 to get -4.

$$3x+4=4x-4+3x$$

Combine 4x and 3x to get 7x.

$$3x+4=7x-4$$

Subtract 7x from both sides.

$$3x+4-7x=-4$$

Combine 3x and -7x to get -4x.

$$-4x+4=-4$$

Subtract 4 from both sides.

$$-4x=-4-4$$

Subtract 4 from -4 to get -8.

$$-4x=-8$$

Divide both sides by -4.

$$x=\frac{-8}{-4}$$

Divide -8 by -4 to get 2.

$$x=2$$