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In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
[tex]\frac{5}{2}x\text{ - 7 = }\frac{3}{4}x+14[/tex]Step 02:
We must apply algebraic properties.
[tex]\begin{gathered} \frac{5}{2}x-\frac{3}{4}x=14+7 \\ \frac{20x-6x}{8}=21 \\ \frac{14x}{8}=21 \\ 14x=21\cdot8 \end{gathered}[/tex]x = 168 / 14
x = 12
The answer is:
x = 12