50.5k views
2 votes
. Solve for x. Show your work: 4(x+1)= -3x-10 :)

1 Answer

3 votes

Answer:

x = - 2

Explanation:

Distribute

4(x + 1) = -3x - 10

4x + 4 = -3x - 10

Subtract 4 from both sides of the equation

4x + 4 = -3x - 10

4x + 4 − 4 = −3x − 10 − 4

Simplify

Subtract the numbers

4x+4−4=−3x−10−4

4 = − 3 − 1 0 − 4

Subtract the numbers again

4 = − 3 − 14

Add 3x to both sides of the equation

4 = − 3 x − 1 4

4 + 3 = − 3 − 1 4 + 3

Simplify

Combine like terms

4 + 3 = -3x-14+3x

7x =−3x−14+3x

Divide both sides of the equation by the same term

7 = − 1 4

7 /7 = -14/7

Cancel terms that are in both the numerator and denominator

7x/7 = -14/7

x = -14/7

Divide the numbers

= − 1 4 /7

= − 2

User Gswierczynski
by
4.7k points