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Solve the equation 5(x-4)=5-(2x-3)

User Sara Brown
by
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2 Answers

2 votes

Answer:4

Step-by-step explanation:5(X-4) = 5-(2X-3)

5X - 20 = 5 - 2X + 3

5X + 2X = 20 +5+3

7X = 28

X=28/7

X=4

User Bzlm
by
8.2k points
4 votes

Answer:

To solve the equation 5(x-4) = 5 - (2x-3), we can follow these steps:

1. Distribute the 5 on the left side of the equation:

5x - 20 = 5 - (2x-3)

2. Remove the parentheses on the right side by distributing the negative sign:

5x - 20 = 5 - 2x + 3

3. Combine like terms on both sides of the equation:

5x - 20 = 8 - 2x

4. Add 2x to both sides of the equation to isolate the x terms on one side:

5x + 2x - 20 = 8 - 2x + 2x

7x - 20 = 8

5. Add 20 to both sides of the equation to isolate the variable term:

7x - 20 + 20 = 8 + 20

7x = 28

6. Divide both sides of the equation by 7 to solve for x:

(7x)/7 = 28/7

x = 4

Therefore, the solution to the equation 5(x-4) = 5 - (2x-3) is x = 4.

Hope this helps :]

User Sangeeta
by
7.5k points