Question

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

Answer 1

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:

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

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