Answered

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What is the solution of 5/2-7= 3/4x+14,
O A.
x=-6
O B.
x=6
OC.
X=8
O D. x=12

What Is The Solution Of 527 34x14 O A X6 O B X6 OC X8 O D X12 class=

Sagot :

Esther

Answer:

D) x = 12

Step-by-step explanation:

Given:

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

1. Multiply both sides by 4

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

2. Subtract 3x from both sides

[tex]\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56[/tex]

3. Add 28 to both sides

[tex]\sf{7x-28+28=56+28}\\\\\implies 7x=84[/tex]

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

[tex]\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12[/tex]

Learn more here:

brainly.com/question/27844194

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