Solve for x
x=-3.2
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Linear Equation
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\frac{ 2 \times \left( x+1 \right) +7 \cdot 2 }{ 2.4 } = 4
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2\left(x+1\right)+7\times 2=4\times 2.4
Multiply both sides by 2.4.
2x+2+7\times 2=4\times 2.4
Use the distributive property to multiply 2 by x+1.
2x+2+14=4\times 2.4
Multiply 7 and 2 to get 14.
2x+16=4\times 2.4
Add 2 and 14 to get 16.
2x+16=9.6
Multiply 4 and 2.4 to get 9.6.
2x=9.6-16
Subtract 16 from both sides.
2x=-6.4
Subtract 16 from 9.6 to get -6.4.
x=\frac{-6.4}{2}
Divide both sides by 2.
x=\frac{-64}{20}
Expand \frac{-6.4}{2} by multiplying both numerator and the denominator by 10.
x=-\frac{16}{5}
Reduce the fraction \frac{-64}{20} to lowest terms by extracting and canceling out 4.
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