# Solve for x x/15=1/25+x/10 x15=125+x10
Multiply both sides of the equation by 15.
x=125⋅(15)+x10⋅(15)
Simplify each term.
Cancel the common factor of 5.
Factor 5 out of 25.
x=15(5)⋅15+x10⋅(15)
Factor 5 out of 15.
x=15⋅5⋅(5⋅3)+x10⋅(15)
Cancel the common factor.
x=15⋅5⋅(5⋅3)+x10⋅(15)
Rewrite the expression.
x=15⋅3+x10⋅(15)
x=15⋅3+x10⋅(15)
Combine 15 and 3.
x=35+x10⋅(15)
Cancel the common factor of 5.
Factor 5 out of 10.
x=35+x5(2)⋅15
Factor 5 out of 15.
x=35+x5⋅2⋅(5⋅3)
Cancel the common factor.
x=35+x5⋅2⋅(5⋅3)
Rewrite the expression.
x=35+x2⋅3
x=35+x2⋅3
Combine x2 and 3.
x=35+x⋅32
Move 3 to the left of x.
x=35+3×2
x=35+3×2
Move all terms containing x to the left side of the equation.
Subtract 3×2 from both sides of the equation.
x-3×2=35
To write x as a fraction with a common denominator, multiply by 22.
x⋅22-3×2=35
Combine x and 22.
x⋅22-3×2=35
Combine the numerators over the common denominator.
x⋅2-3×2=35
Simplify the numerator.
Move 2 to the left of x.
2⋅x-3×2=35
Subtract 3x from 2x.
-x2=35
-x2=35
Move the negative in front of the fraction.
-x2=35
-x2=35
Multiply both sides of the equation by -2.
-2⋅(-x2)=-2⋅35
Simplify both sides of the equation.
Simplify -2⋅(-x2).
Cancel the common factor of 2.
Move the leading negative in -x2 into the numerator.
-2⋅-x2=-2⋅35
Factor 2 out of -2.
2(-1)⋅-x2=-2⋅35
Cancel the common factor.
2⋅-1⋅-x2=-2⋅35
Rewrite the expression.
-1⋅(-x)=-2⋅35
-1⋅(-x)=-2⋅35
Multiply.
Multiply -1 by -1.
1⋅x=-2⋅35
Multiply x by 1.
x=-2⋅35
x=-2⋅35
x=-2⋅35
Simplify -2⋅35.
Multiply -2(35).
Combine -2 and 35.
x=-2⋅35
Multiply -2 by 3.
x=-65
x=-65
Move the negative in front of the fraction.
x=-65
x=-65
x=-65
The result can be shown in multiple forms.
Exact Form:
x=-65
Decimal Form:
x=-1.2
Mixed Number Form:
x=-115
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