Solve the linear equation $4t+5=3t+12$ and find the value of $t$.

Step-by-step solution

1. Subtract $3t$ from both sides to isolate $t$ on the left: $4t-3t+5=12$, which gives $t+5=12$ because adding and subtracting the same quantity does not change the equality.
2. Subtract $5$ from both sides to solve for $t$: $t+5-5=12-5$, giving $t=7$ because moving terms across the equality preserves the solution.

Concept tested: Solving linear equations in one variable

Published 7 October 2026 · How this solution was prepared and checked