Question

question 24 · 1 point
solve the following equation for x:
-7(x - 3) + 2 = 1 - 5(x - 2)
provide your answer below
x = \square

Explanation:

Step1: Expand both sides

Expand \(-7(x - 3)\) to get \(-7x + 21\) and \(-5(x - 2)\) to get \(-5x + 10\). The equation becomes:
\(-7x + 21 + 2 = 1 - 5x + 10\)

Step2: Simplify both sides

Simplify the left side: \(-7x + 23\), and the right side: \(-5x + 11\). So we have:
\(-7x + 23 = -5x + 11\)

Step3: Add \(7x\) to both sides

Adding \(7x\) to both sides gives:
\(23 = 2x + 11\)

Step4: Subtract 11 from both sides

Subtracting 11 from both sides:
\(12 = 2x\)

Step5: Divide by 2

Divide both sides by 2:
\(x = 6\)

Answer:

\(x = 6\)