Solve for x
x = -\frac{11}{8} = -1\frac{3}{8} = -1.375
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4\left(x+1\right)-6x=3\left(2x+5\right)
Multiply both sides of the equation by 12, the least common multiple of 3,2,4.
4x+4-6x=3\left(2x+5\right)
Use the distributive property to multiply 4 by x+1.
-2x+4=3\left(2x+5\right)
Combine 4x and -6x to get -2x.
-2x+4=6x+15
Use the distributive property to multiply 3 by 2x+5.
-2x+4-6x=15
Subtract 6x from both sides.
-8x+4=15
Combine -2x and -6x to get -8x.
-8x=15-4
Subtract 4 from both sides.
-8x=11
Subtract 4 from 15 to get 11.
x=\frac{11}{-8}
Divide both sides by -8.
x=-\frac{11}{8}
Fraction \frac{11}{-8} can be rewritten as -\frac{11}{8} by extracting the negative sign.
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Limits
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