Solve for x x/2+1/5=7/20+x/4

Math
x2+15=720+x4
Move all terms containing x to the left side of the equation.
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Subtract x4 from both sides of the equation.
x2+15-x4=720
To write x2 as a fraction with a common denominator, multiply by 22.
x2⋅22-x4+15=720
Write each expression with a common denominator of 4, by multiplying each by an appropriate factor of 1.
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Multiply x2 and 22.
x⋅22⋅2-x4+15=720
Multiply 2 by 2.
x⋅24-x4+15=720
x⋅24-x4+15=720
Combine the numerators over the common denominator.
x⋅2-x4+15=720
Subtract x from x⋅2.
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Reorder x and 2.
2⋅x-x4+15=720
Subtract x from 2⋅x.
x4+15=720
x4+15=720
x4+15=720
Move all terms not containing x to the right side of the equation.
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Subtract 15 from both sides of the equation.
x4=720-15
To write -15 as a fraction with a common denominator, multiply by 44.
x4=720-15⋅44
Write each expression with a common denominator of 20, by multiplying each by an appropriate factor of 1.
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Multiply 15 and 44.
x4=720-45⋅4
Multiply 5 by 4.
x4=720-420
x4=720-420
Combine the numerators over the common denominator.
x4=7-420
Subtract 4 from 7.
x4=320
x4=320
Multiply both sides of the equation by 4.
4⋅x4=4⋅320
Simplify both sides of the equation.
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Cancel the common factor of 4.
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Cancel the common factor.
4⋅x4=4⋅320
Rewrite the expression.
x=4⋅320
x=4⋅320
Cancel the common factor of 4.
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Factor 4 out of 20.
x=4⋅34(5)
Cancel the common factor.
x=4⋅34⋅5
Rewrite the expression.
x=35
x=35
x=35
The result can be shown in multiple forms.
Exact Form:
x=35
Decimal Form:
x=0.6
Solve for x x/2+1/5=7/20+x/4

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