# Solve for t 2/3*(6t+12)=28

23⋅(6t+12)=28
Multiply both sides of the equation by 32.
32⋅23⋅(6t+12)=32⋅28
Simplify both sides of the equation.
Simplify 32⋅23⋅(6t+12).
Cancel the common factor of 3.
Cancel the common factor.
32⋅23⋅(6t+12)=32⋅28
Rewrite the expression.
12⋅2⋅(6t+12)=32⋅28
12⋅2⋅(6t+12)=32⋅28
Cancel the common factor of 2.
Cancel the common factor.
12⋅2⋅(6t+12)=32⋅28
Rewrite the expression.
1⋅(6t+12)=32⋅28
1⋅(6t+12)=32⋅28
Multiply 6t+12 by 1.
6t+12=32⋅28
6t+12=32⋅28
Simplify 32⋅28.
Cancel the common factor of 2.
Factor 2 out of 28.
6t+12=32⋅(2(14))
Cancel the common factor.
6t+12=32⋅(2⋅14)
Rewrite the expression.
6t+12=3⋅14
6t+12=3⋅14
Multiply 3 by 14.
6t+12=42
6t+12=42
6t+12=42
Move all terms not containing t to the right side of the equation.
Subtract 12 from both sides of the equation.
6t=42-12
Subtract 12 from 42.
6t=30
6t=30
Divide each term by 6 and simplify.
Divide each term in 6t=30 by 6.
6t6=306
Cancel the common factor of 6.
Cancel the common factor.
6t6=306
Divide t by 1.
t=306
t=306
Divide 30 by 6.
t=5
t=5
Solve for t 2/3*(6t+12)=28