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5x-2-3x=\frac{3}{4}
Subtract 3x from both sides.
2x-2=\frac{3}{4}
Combine 5x and -3x to get 2x.
2x=\frac{3}{4}+2
Add 2 to both sides.
2x=\frac{3}{4}+\frac{8}{4}
Convert 2 to fraction \frac{8}{4}.
2x=\frac{3+8}{4}
Since \frac{3}{4} and \frac{8}{4} have the same denominator, add them by adding their numerators.
2x=\frac{11}{4}
Add 3 and 8 to get 11.
x=\frac{\frac{11}{4}}{2}
Divide both sides by 2.
x=\frac{11}{4\times 2}
Express \frac{\frac{11}{4}}{2} as a single fraction.
x=\frac{11}{8}
Multiply 4 and 2 to get 8.