x15=125+x10

Multiply both sides of the equation by 15.

x=125⋅(15)+x10⋅(15)

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

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 -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

Solve for x x/15=1/25+x/10