Solve for x
x=1
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Linear Equation
5 problems similar to:
1- \frac{ 2x-3 }{ 12 } = \frac{ 3x }{ 4 } + \frac{ 2-x }{ 3 }
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12-\left(2x-3\right)=3\times 3x+4\left(2-x\right)
Multiply both sides of the equation by 12, the least common multiple of 12,4,3.
12-2x-\left(-3\right)=3\times 3x+4\left(2-x\right)
To find the opposite of 2x-3, find the opposite of each term.
12-2x+3=3\times 3x+4\left(2-x\right)
The opposite of -3 is 3.
15-2x=3\times 3x+4\left(2-x\right)
Add 12 and 3 to get 15.
15-2x=9x+4\left(2-x\right)
Multiply 3 and 3 to get 9.
15-2x=9x+8-4x
Use the distributive property to multiply 4 by 2-x.
15-2x=5x+8
Combine 9x and -4x to get 5x.
15-2x-5x=8
Subtract 5x from both sides.
15-7x=8
Combine -2x and -5x to get -7x.
-7x=8-15
Subtract 15 from both sides.
-7x=-7
Subtract 15 from 8 to get -7.
x=\frac{-7}{-7}
Divide both sides by -7.
x=1
Divide -7 by -7 to get 1.
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