\[\frac{3}{4}x-2=\frac{5}{6}x\times \frac{3}{2}\]
1
Simplify  34x\frac{3}{4}x  to  3x4\frac{3x}{4}.
3x4−2=56x×32\frac{3x}{4}-2=\frac{5}{6}x\times \frac{3}{2}

2
Use this rule: ab×cd=acbd\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}.
3x4−2=5x×36×2\frac{3x}{4}-2=\frac{5x\times 3}{6\times 2}

3
Simplify  5x×35x\times 3  to  15x15x.
3x4−2=15x6×2\frac{3x}{4}-2=\frac{15x}{6\times 2}

4
Simplify  6×26\times 2  to  1212.
3x4−2=15x12\frac{3x}{4}-2=\frac{15x}{12}

5
Simplify  15x12\frac{15x}{12}  to  5x4\frac{5x}{4}.
3x4−2=5x4\frac{3x}{4}-2=\frac{5x}{4}

6
Multiply both sides by 44.
3x−8=5x3x-8=5x

7
Subtract 3x3x from both sides.
−8=5x−3x-8=5x-3x

8
Simplify  5x−3x5x-3x  to  2x2x.
−8=2x-8=2x

9
Divide both sides by 22.
−82=x-\frac{8}{2}=x

10
Simplify  82\frac{8}{2}  to  44.
−4=x-4=x

11
Switch sides.
x=−4x=-4

Done

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