Solve for x (isolate/get x by itself)
[tex]\frac{1}{4}x-7=\frac{3}{8}x-5[/tex] Add 5 on both sides
[tex]\frac{1}{4}x-7+5=\frac{3}{8}x-5+5[/tex]
[tex]\frac{1}{4}x-2=\frac{3}{8}x[/tex] Subtract 1/4x on both sides
[tex]\frac{1}{4}x-\frac{1}{4}x-2=\frac{3}{8}x-\frac{1}{4}x[/tex]
[tex]-2=\frac{3}{8}x-\frac{1}{4}x[/tex] Make the denominators the same of the fractions in order to combine them. Multiply 2 to the top and bottom of 1/4x
[tex]-2=\frac{3}{8}x-\frac{2}{8}x[/tex]
[tex]-2=\frac{1}{8}x[/tex] Multiply 8 on both sides
[tex]-2(8)=(8)\frac{1}{8}x[/tex]
-16 = x
