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Nastasia [14]
2 years ago
13

What is the solution of 5/2-7= 3/4x+14,

Mathematics
1 answer:
Sidana [21]2 years ago
3 0

Answer:

D) x = 12

Step-by-step explanation:

Given:

\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}

1. Multiply both sides by 4

\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56

2. Subtract 3x from both sides

\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56

3. Add 28 to both sides

\sf{7x-28+28=56+28}\\\\\implies 7x=84

4. Divide both sides by 7 to isolate the variable:

\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12

Learn more here:

brainly.com/question/27844194

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