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3x-4.2+1.7\geq 2\left(2.4x-3.5\right)
Use the distributive property to multiply 2 by 1.5x-2.1.
3x-2.5\geq 2\left(2.4x-3.5\right)
Add -4.2 and 1.7 to get -2.5.
3x-2.5\geq 4.8x-7
Use the distributive property to multiply 2 by 2.4x-3.5.
3x-2.5-4.8x\geq -7
Subtract 4.8x from both sides.
-1.8x-2.5\geq -7
Combine 3x and -4.8x to get -1.8x.
-1.8x\geq -7+2.5
Add 2.5 to both sides.
-1.8x\geq -4.5
Add -7 and 2.5 to get -4.5.
x\leq \frac{-4.5}{-1.8}
Divide both sides by -1.8. Since -1.8 is negative, the inequality direction is changed.
x\leq \frac{-45}{-18}
Expand \frac{-4.5}{-1.8} by multiplying both numerator and the denominator by 10.
x\leq \frac{5}{2}
Reduce the fraction \frac{-45}{-18} to lowest terms by extracting and canceling out -9.