Solve 2 (x + 5) + 4 (x - 9) = - 14. Show each step of your work.

Answer:X = 2

Step-by-step explanation:

Apply the distributive property.

2x+2⋅5+4 (x-9) = -142x+2⋅5+4 (x-9) = -14

Multiply 22 by 55.

2x+10+4 (x-9) = -142x+10+4 (x-9) = -14

Apply the distributive property.

2x+10+4x+4⋅-9=-142x+10+4x+4⋅-9=-14

Multiply 44 by - 9-9.

2x+10+4x-36=-142x+10+4x-36=-14

Simplify by adding terms.

6x-26=-146x-26=-14

Move all terms not containing xx to the right side of the equation.

Add 2626 to both sides of the equation.

6x=-14+266x=-14+26

Add - 14-14 and 2626.

6x=126x=12

Divide each term by 66 and simplify.

Divide each term in 6x=126x=12 by 66.

6x6=1266x6=126

Cancel the common factor of 66.

x=126x=126

Divide 1212 by 66.

x=2