Solve for x
x=\frac{32}{355}\approx 0.090140845
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360-3\left(x-4\right)=240-4\left(2x+5\right)+360x+120
Multiply both sides of the equation by 120, the least common multiple of 40,30.
360-3x+12=240-4\left(2x+5\right)+360x+120
Use the distributive property to multiply -3 by x-4.
372-3x=240-4\left(2x+5\right)+360x+120
Add 360 and 12 to get 372.
372-3x=240-8x-20+360x+120
Use the distributive property to multiply -4 by 2x+5.
372-3x=220-8x+360x+120
Subtract 20 from 240 to get 220.
372-3x=220+352x+120
Combine -8x and 360x to get 352x.
372-3x=340+352x
Add 220 and 120 to get 340.
372-3x-352x=340
Subtract 352x from both sides.
372-355x=340
Combine -3x and -352x to get -355x.
-355x=340-372
Subtract 372 from both sides.
-355x=-32
Subtract 372 from 340 to get -32.
x=\frac{-32}{-355}
Divide both sides by -355.
x=\frac{32}{355}
Fraction \frac{-32}{-355} can be simplified to \frac{32}{355} by removing the negative sign from both the numerator and the denominator.
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