6x+3=76x+3=7

1
Subtract 33 from both sides.
6x=736x=7-3

2
Simplify  737-3  to  44.
6x=46x=4

3
Divide both sides by 66.
x=46x=\frac{4}{6}

4
Simplify  46\frac{4}{6}  to  23\frac{2}{3}.
x=23x=\frac{2}{3}

Done

Decimal Form: 0.666667

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