Solve the equation. $5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )$
A) $t = - 51$
B) $t = - 53$
C) $t = - 49$
D) $t = - 14$
E) $t = - 48$

Name: Solve the equation. $5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )$ A) $t = - 51$ B) $t = - 53$ C) $t = - 49$ D) $t = - 14$ E) $t = - 48$
Brand: Quizplus
Rating: 4.9 (37 reviews)

Question

Quizplus · Accepted Answer

First, expand both sides: $5t - 5 + 3t - 9 = -2t + 2 + 11t + 33$. Simplify to get $8t - 14 = 9t + 35$. Rearrange to find $t = -49$.

Solve the Equation 5(t−1)+3(t−3)=−2(t−1)+11(t+3)5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )5(t−1)+3(t−3)=−2(t−1)+11(t+3)

Solve the Equation $5 ( t - 1 ) + 3 ( t - 3 ) = - 2 ( t - 1 ) + 11 ( t + 3 )$