Solve for x
x=4
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Linear Equation
5 problems similar to:
\frac{ 5x-2 }{ 3 } - \frac{ x-8 }{ 4 } = \frac{ x+14 }{ 2 } -2
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4\left(5x-2\right)-3\left(x-8\right)=6\left(x+14\right)-24
Multiply both sides of the equation by 12, the least common multiple of 3,4,2.
20x-8-3\left(x-8\right)=6\left(x+14\right)-24
Use the distributive property to multiply 4 by 5x-2.
20x-8-3x+24=6\left(x+14\right)-24
Use the distributive property to multiply -3 by x-8.
17x-8+24=6\left(x+14\right)-24
Combine 20x and -3x to get 17x.
17x+16=6\left(x+14\right)-24
Add -8 and 24 to get 16.
17x+16=6x+84-24
Use the distributive property to multiply 6 by x+14.
17x+16=6x+60
Subtract 24 from 84 to get 60.
17x+16-6x=60
Subtract 6x from both sides.
11x+16=60
Combine 17x and -6x to get 11x.
11x=60-16
Subtract 16 from both sides.
11x=44
Subtract 16 from 60 to get 44.
x=\frac{44}{11}
Divide both sides by 11.
x=4
Divide 44 by 11 to get 4.
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