Solve for x
x=-\frac{17}{24}\approx -0.708333333
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10\left(3x+2\right)-20=5\left(2x-1\right)-4\left(2+x+1\right)
Multiply both sides of the equation by 20, the least common multiple of 2,4,5.
30x+20-20=5\left(2x-1\right)-4\left(2+x+1\right)
Use the distributive property to multiply 10 by 3x+2.
30x=5\left(2x-1\right)-4\left(2+x+1\right)
Subtract 20 from 20 to get 0.
30x=10x-5-4\left(2+x+1\right)
Use the distributive property to multiply 5 by 2x-1.
30x=10x-5-4\left(3+x\right)
Add 2 and 1 to get 3.
30x=10x-5-12-4x
Use the distributive property to multiply -4 by 3+x.
30x=10x-17-4x
Subtract 12 from -5 to get -17.
30x=6x-17
Combine 10x and -4x to get 6x.
30x-6x=-17
Subtract 6x from both sides.
24x=-17
Combine 30x and -6x to get 24x.
x=\frac{-17}{24}
Divide both sides by 24.
x=-\frac{17}{24}
Fraction \frac{-17}{24} can be rewritten as -\frac{17}{24} by extracting the negative sign.
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Limits
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