Solve for x
x=-\frac{51}{56}\approx -0.910714286
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3\left(22x+2\right)+45-10x=0
Multiply both sides of the equation by 15, the least common multiple of 5,3.
66x+6+45-10x=0
Use the distributive property to multiply 3 by 22x+2.
66x+51-10x=0
Add 6 and 45 to get 51.
56x+51=0
Combine 66x and -10x to get 56x.
56x=-51
Subtract 51 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-51}{56}
Divide both sides by 56.
x=-\frac{51}{56}
Fraction \frac{-51}{56} can be rewritten as -\frac{51}{56} by extracting the negative sign.
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Limits
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