Solve -2(x+2)=4-(5x-7

$$- 2 ( x + 2 ) = 4 - ( 5 x - 7$$

Solve for x

$$x=5$$

Steps for Solving Linear Equation

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

$$-2x-4=4-\left(5x-7\right)$$

To find the opposite of 5x-7, find the opposite of each term.

$$-2x-4=4-5x-\left(-7\right)$$

The opposite of -7 is 7.

$$-2x-4=4-5x+7$$

Add 4 and 7 to get 11.

$$-2x-4=11-5x$$

Add 5x to both sides.

$$-2x-4+5x=11$$

Combine -2x and 5x to get 3x.

$$3x-4=11$$

Add 4 to both sides.

$$3x=11+4$$

Add 11 and 4 to get 15.

$$3x=15$$

Divide both sides by 3.

$$x=\frac{15}{3}$$

Divide 15 by 3 to get 5.

$$x=5$$