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madreJ [45]
3 years ago
5

Find the value of xFind the value of xFind the value of x

Mathematics
1 answer:
Natali [406]3 years ago
3 0

Answer:

x = 11

Step-by-step explanation:

\frac{x + 2}{6}   -  \bigg( \frac{11 -x }{3}  -  \frac{1}{4}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2(x + 2)}{2 \times 6}   -  \bigg( \frac{4(11 - x) - 1 \times 3}{3 \times 4}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4}{12}   -  \bigg( \frac{4 4 - 4x- 3}{12}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4}{12}   -  \bigg( \frac{41 - 4x}{12}  \bigg) =  \frac{3x - 4}{12}  \\  \\ \frac{2x + 4 - 41 + 4x}{ \cancel{12}}  =  \frac{3x - 4}{ \cancel{12}}  \\  \\ 6x - 37 = 3x - 4 \\  \\ 6x - 3x = 37 - 4 \\  \\ 3x = 33 \\  \\ x =  \frac{33}{3}  \\  \\ \huge \red{ \boxed{ x = 11}}

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