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

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

Solve for x

$$x=\frac{2}{3}\approx 0.666666667$$

Steps for Solving Linear Equation

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

$$6-4x+4=2x+7-1$$

Add 6 and 4 to get 10.

$$10-4x=2x+7-1$$

Subtract 1 from 7 to get 6.

$$10-4x=2x+6$$

Subtract 2x from both sides.

$$10-4x-2x=6$$

Combine -4x and -2x to get -6x.

$$10-6x=6$$

Subtract 10 from both sides.

$$-6x=6-10$$

Subtract 10 from 6 to get -4.

$$-6x=-4$$

Divide both sides by -6.

$$x=\frac{-4}{-6}$$

Reduce the fraction \frac{-4}{-6} to lowest terms by extracting and canceling out -2.

$$x=\frac{2}{3}$$