# Solve for A (15-A)/10=1/4 15-A10=14
Multiply both sides of the equation by 10.
15-A=14⋅(10)
Remove parentheses.
15-A=14⋅(10)
Simplify 14⋅(10).
Cancel the common factor of 2.
Factor 2 out of 4.
15-A=12(2)⋅10
Factor 2 out of 10.
15-A=12⋅2⋅(2⋅5)
Cancel the common factor.
15-A=12⋅2⋅(2⋅5)
Rewrite the expression.
15-A=12⋅5
15-A=12⋅5
Combine 12 and 5.
15-A=52
15-A=52
Move all terms not containing A to the right side of the equation.
Subtract 15 from both sides of the equation.
-A=52-15
To write -15 as a fraction with a common denominator, multiply by 22.
-A=52-15⋅22
Combine -15 and 22.
-A=52+-15⋅22
Combine the numerators over the common denominator.
-A=5-15⋅22
Simplify the numerator.
Multiply -15 by 2.
-A=5-302
Subtract 30 from 5.
-A=-252
-A=-252
Move the negative in front of the fraction.
-A=-252
-A=-252
Multiply each term in -A=-252 by -1
Multiply each term in -A=-252 by -1.
(-A)⋅-1=-252⋅-1
Multiply (-A)⋅-1.
Multiply -1 by -1.
1A=-252⋅-1
Multiply A by 1.
A=-252⋅-1
A=-252⋅-1
Multiply -252⋅-1.
Multiply -1 by -1.
A=1(252)
Multiply 252 by 1.
A=252
A=252
A=252
The result can be shown in multiple forms.
Exact Form:
A=252
Decimal Form:
A=12.5
Mixed Number Form:
A=1212
Solve for A (15-A)/10=1/4

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