Solve for s 2s+3/4=5/6

2s+34=56
Move all terms not containing s to the right side of the equation.
Subtract 34 from both sides of the equation.
2s=56-34
To write 56 as a fraction with a common denominator, multiply by 22.
2s=56⋅22-34
To write -34 as a fraction with a common denominator, multiply by 33.
2s=56⋅22-34⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
Multiply 56 and 22.
2s=5⋅26⋅2-34⋅33
Multiply 6 by 2.
2s=5⋅212-34⋅33
Multiply 34 and 33.
2s=5⋅212-3⋅34⋅3
Multiply 4 by 3.
2s=5⋅212-3⋅312
2s=5⋅212-3⋅312
Combine the numerators over the common denominator.
2s=5⋅2-3⋅312
Simplify the numerator.
Multiply 5 by 2.
2s=10-3⋅312
Multiply -3 by 3.
2s=10-912
Subtract 9 from 10.
2s=112
2s=112
2s=112
Divide each term by 2 and simplify.
Divide each term in 2s=112 by 2.
2s2=112⋅12
Cancel the common factor of 2.
Cancel the common factor.
2s2=112⋅12
Divide s by 1.
s=112⋅12
s=112⋅12
Multiply 112⋅12.
Multiply 112 and 12.
s=112⋅2
Multiply 12 by 2.
s=124
s=124
s=124
The result can be shown in multiple forms.
Exact Form:
s=124
Decimal Form:
s=0.0416‾
Solve for s 2s+3/4=5/6

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