Math Snap

STEP 1

1. We are given the equation $5t - 2(t+1) = t - 10$.
2. We need to solve for $t$.
3. We will check which of the provided options for $t$ satisfy the equation.

STEP 2

1. Simplify the equation.
2. Solve for $t$.
3. Verify the solution against the given options.

STEP 3

Simplify the equation $5t - 2(t+1) = t - 10$:
First, distribute the $-2$ across the terms inside the parentheses:
$$5t - 2(t + 1) = 5t - 2t - 2$$ This simplifies to:
$$3t - 2$$ So the equation becomes:
$$3t - 2 = t - 10$$

STEP 4

Solve for $t$ by isolating $t$ on one side of the equation:
Subtract $t$ from both sides:
$$3t - t - 2 = -10$$ This simplifies to:
$$2t - 2 = -10$$ Add 2 to both sides:
$$2t = -8$$ Divide both sides by 2:
$$t = -4$$

Verify the solution against the given options:
The options are $t = -3$, $t = -4$, $t = -2$, $t = -12$.
The solution $t = -4$ matches one of the given options.
The correct solution is $\boxed{-4}$.