# Solve for t 7/3*(4t+2)=2t

73⋅(4t+2)=2t
Simplify 73⋅(4t+2).
Apply the distributive property.
73(4t)+73⋅2=2t
Multiply 73(4t).
Combine 4 and 73.
4⋅73t+73⋅2=2t
Multiply 4 by 7.
283t+73⋅2=2t
Combine 283 and t.
28t3+73⋅2=2t
28t3+73⋅2=2t
Multiply 73⋅2.
Combine 73 and 2.
28t3+7⋅23=2t
Multiply 7 by 2.
28t3+143=2t
28t3+143=2t
28t3+143=2t
Move all terms containing t to the left side of the equation.
Subtract 2t from both sides of the equation.
28t3+143-2t=0
To write -2t as a fraction with a common denominator, multiply by 33.
28t3-2t⋅33+143=0
Combine -2t and 33.
28t3+-2t⋅33+143=0
Combine the numerators over the common denominator.
28t-2t⋅33+143=0
Combine the numerators over the common denominator.
28t-2t⋅3+143=0
Simplify the numerator.
Factor 2 out of 28t-2t⋅3+14.
Factor 2 out of 28t.
2(14t)-2t⋅3+143=0
Factor 2 out of -2t⋅3.
2(14t)+2(-t⋅3)+143=0
Factor 2 out of 14.
2(14t)+2(-t⋅3)+2(7)3=0
Factor 2 out of 2(14t)+2(-t⋅3).
2(14t-t⋅3)+2(7)3=0
Factor 2 out of 2(14t-t⋅3)+2(7).
2(14t-t⋅3+7)3=0
2(14t-t⋅3+7)3=0
Multiply 3 by -1.
2(14t-3t+7)3=0
Subtract 3t from 14t.
2(11t+7)3=0
2(11t+7)3=0
2(11t+7)3=0
Multiply both sides of the equation by 3.
2(11t+7)=0⋅(3)
Simplify 2(11t+7).
Apply the distributive property.
2(11t)+2⋅7=0⋅(3)
Multiply.
Multiply 11 by 2.
22t+2⋅7=0⋅(3)
Multiply 2 by 7.
22t+14=0⋅(3)
22t+14=0⋅(3)
22t+14=0⋅(3)
Multiply 0 by 3.
22t+14=0
Subtract 14 from both sides of the equation.
22t=-14
Divide each term by 22 and simplify.
Divide each term in 22t=-14 by 22.
22t22=-1422
Cancel the common factor of 22.
Cancel the common factor.
22t22=-1422
Divide t by 1.
t=-1422
t=-1422
Simplify -1422.
Cancel the common factor of -14 and 22.
Factor 2 out of -14.
t=2(-7)22
Cancel the common factors.
Factor 2 out of 22.
t=2⋅-72⋅11
Cancel the common factor.
t=2⋅-72⋅11
Rewrite the expression.
t=-711
t=-711
t=-711
Move the negative in front of the fraction.
t=-711
t=-711
t=-711
The result can be shown in multiple forms.
Exact Form:
t=-711
Decimal Form:
t=-0.63‾
Solve for t 7/3*(4t+2)=2t

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