( \frac { 7 - 2 x } { 4 } - \frac { x - 1 } { 5 } = - \frac { 4 x + 11 } { 20 } )
Solve for x
x=5
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5\left(7-2x\right)-4\left(x-1\right)=-\left(4x+11\right)
Multiply both sides of the equation by 20, the least common multiple of 4,5,20.
35-10x-4\left(x-1\right)=-\left(4x+11\right)
Use the distributive property to multiply 5 by 7-2x.
35-10x-4x+4=-\left(4x+11\right)
Use the distributive property to multiply -4 by x-1.
35-14x+4=-\left(4x+11\right)
Combine -10x and -4x to get -14x.
39-14x=-\left(4x+11\right)
Add 35 and 4 to get 39.
39-14x=-4x-11
To find the opposite of 4x+11, find the opposite of each term.
39-14x+4x=-11
Add 4x to both sides.
39-10x=-11
Combine -14x and 4x to get -10x.
-10x=-11-39
Subtract 39 from both sides.
-10x=-50
Subtract 39 from -11 to get -50.
x=\frac{-50}{-10}
Divide both sides by -10.
x=5
Divide -50 by -10 to get 5.
Examples
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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