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

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

Solve for x

$$x=-3$$

Steps for Solving Linear Equation

Use the distributive property to multiply -2 by 5-x.

$$-10+2x=7\left(4+2x\right)-2$$

Use the distributive property to multiply 7 by 4+2x.

$$-10+2x=28+14x-2$$

Subtract 2 from 28 to get 26.

$$-10+2x=26+14x$$

Subtract 14x from both sides.

$$-10+2x-14x=26$$

Combine 2x and -14x to get -12x.

$$-10-12x=26$$

Add 10 to both sides.

$$-12x=26+10$$

Add 26 and 10 to get 36.

$$-12x=36$$

Divide both sides by -12.

$$x=\frac{36}{-12}$$

Divide 36 by -12 to get -3.

$$x=-3$$