Solve for x
x=\frac{8}{41}\approx 0.195121951
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2\left(2+x\right)+30x=3\left(4-3x\right)
Multiply both sides of the equation by 6, the least common multiple of 3,2.
4+2x+30x=3\left(4-3x\right)
Use the distributive property to multiply 2 by 2+x.
4+32x=3\left(4-3x\right)
Combine 2x and 30x to get 32x.
4+32x=12-9x
Use the distributive property to multiply 3 by 4-3x.
4+32x+9x=12
Add 9x to both sides.
4+41x=12
Combine 32x and 9x to get 41x.
41x=12-4
Subtract 4 from both sides.
41x=8
Subtract 4 from 12 to get 8.
x=\frac{8}{41}
Divide both sides by 41.
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