68.8k views
0 votes
5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13 pls help

2 Answers

1 vote

answers

All real numbers are solutions

step by step

5(−3x−2)−(x−3)=−4(4x+5)+13

Step 1: Simplify both sides of the equation.

5(−3x−2)−(x−3)=−4(4x+5)+13

5(−3x−2)+−1(x−3)=−4(4x+5)+13(Distribute the Negative Sign)

5(−3x−2)+−1x+(−1)(−3)=−4(4x+5)+13

5(−3x−2)+−x+3=−4(4x+5)+13

(5)(−3x)+(5)(−2)+−x+3=(−4)(4x)+(−4)(5)+13(Distribute)

−15x+−10+−x+3=−16x+−20+13

(−15x+−x)+(−10+3)=(−16x)+(−20+13)(Combine Like Terms)

−16x+−7=−16x+−7

−16x−7=−16x−7

Step 2: Add 16x to both sides.

−16x−7+16x=−16x−7+16x

−7=−7

Step 3: Add 7 to both sides.

−7+7=−7+7

0=0

User BigSN
by
7.7k points
2 votes

Answer:

infinite solutions

Explanation:

5(- 3x - 2) - (x - 3) = -4(4x + 5) + 13

Ditribute

-15x -10 -x +3 = -16x - 20+13

Combine like term

-16x -7 = -16x -7

Add 16x to each side

-16x+16x -7 = -16x+16x-7

-7 =-7

This is always true so we have infinite solutions.

User Raythurnevoid
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories