Solve 3x-7left(x-1right)=3-2left(x+3right)

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

Solve for x

$$x=5$$

Steps for Solving Linear Equation

Use the distributive property to multiply -7 by x-1.

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

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

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

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

$$-4x+7=3-2x-6$$

Subtract 6 from 3 to get -3.

$$-4x+7=-3-2x$$

Add 2x to both sides.

$$-4x+7+2x=-3$$

Combine -4x and 2x to get -2x.

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

Subtract 7 from both sides.

$$-2x=-3-7$$

Subtract 7 from -3 to get -10.

$$-2x=-10$$

Divide both sides by -2.

$$x=\frac{-10}{-2}$$

Divide -10 by -2 to get 5.

$$x=5$$