Directions: Solve each equation.
1. $-5(3 x-4)+4=114$

Answer

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Answer

The solution to the equation $-5(3 x-4)+4=114$ is $\boxed{-6}$.

Steps

Step 1 ：Distribute the -5 into the parentheses to get -15x + 20 + 4 = 114.

Step 2 ：Subtract 4 from both sides to get -15x + 20 = 110.

Step 3 ：Divide both sides by -15 to solve for x, which gives x = -6.

Step 4 ：Substitute x with -6 in the original equation to verify the solution.

Step 5 ：The solution to the equation $-5(3 x-4)+4=114$ is $\boxed{-6}$.