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
