Home > Algebra > Multi-Step Equations with Like Terms

How do you solve #2(4x +1 ) = -3x - 5x - 14 #?

Answer 1

Hazel Anglin

x = -1

Gather x terms to the left and numbers to the right after multiplying the bracket.

as a result: 8x + 2 = -8x-14

Consequently, 8x + 8x = -14 - 2 → 16x = - 16

To find x, divide both sides by 16.

#cancel((16)x)/cancel(16) = (-16)/16 rArr x = -1#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Adamson

To solve the equation 2(4x + 1) = -3x - 5x - 14:

First, distribute the 2 on the left side of the equation: 8x + 2 = -3x - 5x - 14
Combine like terms on both sides of the equation: 8x + 2 = -8x - 14
Add 8x to both sides to isolate the variable term on one side: 8x + 8x + 2 = -8x + 8x - 14
Combine like terms again: 16x + 2 = -14
Subtract 2 from both sides: 16x = -16
Divide both sides by 16: x = -1

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.