Solve for x
x=-\frac{1}{2}=-0.5
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4\left(x+2\right)=12+3\left(2x-1\right)
Multiply both sides of the equation by 12, the least common multiple of 3,4.
4x+8=12+3\left(2x-1\right)
Use the distributive property to multiply 4 by x+2.
4x+8=12+6x-3
Use the distributive property to multiply 3 by 2x-1.
4x+8=9+6x
Subtract 3 from 12 to get 9.
4x+8-6x=9
Subtract 6x from both sides.
-2x+8=9
Combine 4x and -6x to get -2x.
-2x=9-8
Subtract 8 from both sides.
-2x=1
Subtract 8 from 9 to get 1.
x=\frac{1}{-2}
Divide both sides by -2.
x=-\frac{1}{2}
Fraction \frac{1}{-2} can be rewritten as -\frac{1}{2} by extracting the negative sign.
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