Solve for x
x=6
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Linear Equation
5 problems similar to:
\frac{ x-1 }{ 5 } + \frac{ x-2 }{ 2 } = \frac{ x }{ 3 } +1
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6\left(x-1\right)+15\left(x-2\right)=10x+30
Multiply both sides of the equation by 30, the least common multiple of 5,2,3.
6x-6+15\left(x-2\right)=10x+30
Use the distributive property to multiply 6 by x-1.
6x-6+15x-30=10x+30
Use the distributive property to multiply 15 by x-2.
21x-6-30=10x+30
Combine 6x and 15x to get 21x.
21x-36=10x+30
Subtract 30 from -6 to get -36.
21x-36-10x=30
Subtract 10x from both sides.
11x-36=30
Combine 21x and -10x to get 11x.
11x=30+36
Add 36 to both sides.
11x=66
Add 30 and 36 to get 66.
x=\frac{66}{11}
Divide both sides by 11.
x=6
Divide 66 by 11 to get 6.
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