19.5k views
3 votes
Solve the equation. Show your work.
4-2(x+7)=3(x+5)

User Johncc
by
6.8k points

2 Answers

5 votes

Answer:

x=-5

Explanation:

Simplifying

4 + -2(x + 7) = 3(x + 5)

Reorder the terms:

4 + -2(7 + x) = 3(x + 5)

4 + (7 * -2 + x * -2) = 3(x + 5)

4 + (-14 + -2x) = 3(x + 5)

Combine like terms: 4 + -14 = -10

-10 + -2x = 3(x + 5)

Reorder the terms:

-10 + -2x = 3(5 + x)

-10 + -2x = (5 * 3 + x * 3)

-10 + -2x = (15 + 3x)

Solving

-10 + -2x = 15 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

-10 + -2x + -3x = 15 + 3x + -3x

Combine like terms: -2x + -3x = -5x

-10 + -5x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0

-10 + -5x = 15 + 0

-10 + -5x = 15

Add '10' to each side of the equation.

-10 + 10 + -5x = 15 + 10

Combine like terms: -10 + 10 = 0

0 + -5x = 15 + 10

-5x = 15 + 10

Combine like terms: 15 + 10 = 25

-5x = 25

Divide each side by '-5'.

x = -5

Simplifying

x = -5

User RonIT
by
6.9k points
0 votes

Answer: x = -5


Explanation:

mathpapa.com

Add your equation, then click show work and theres ur work.

User Vuthy Sok
by
6.4k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.