Solve for x
x=6
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Linear Equation
5 problems similar to:
\frac{ x+4 }{ 5 } -x+4 = \frac{ x }{ 3 } - \frac{ x-2 }{ 2 }
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6\left(x+4\right)-30x+120=10x-15\left(x-2\right)
Multiply both sides of the equation by 30, the least common multiple of 5,3,2.
6x+24-30x+120=10x-15\left(x-2\right)
Use the distributive property to multiply 6 by x+4.
-24x+24+120=10x-15\left(x-2\right)
Combine 6x and -30x to get -24x.
-24x+144=10x-15\left(x-2\right)
Add 24 and 120 to get 144.
-24x+144=10x-15x+30
Use the distributive property to multiply -15 by x-2.
-24x+144=-5x+30
Combine 10x and -15x to get -5x.
-24x+144+5x=30
Add 5x to both sides.
-19x+144=30
Combine -24x and 5x to get -19x.
-19x=30-144
Subtract 144 from both sides.
-19x=-114
Subtract 144 from 30 to get -114.
x=\frac{-114}{-19}
Divide both sides by -19.
x=6
Divide -114 by -19 to get 6.
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