Solve the following equation for xx. Express your answer in the simplest form.

Question

minus, 2, left parenthesis, minus, 3, x, plus, 1, right parenthesis, equals, minus, left parenthesis, minus, 6, x, plus, 3, right parenthesis
−2(−3x+1)=
−(−6x+3)

Answer 1

To solve the equation

\[ -2(-3x + 1) = -(-6x + 3), \]

we'll start by simplifying both sides.

1. Distributing on the left side: \[ -2(-3x + 1) = -2 \cdot -3x + -2 \cdot 1 = 6x - 2. \]

2. Distributing on the right side: \[ -(-6x + 3) = 6x - 3. \]

Now we can rewrite the equation with the simplified expressions:

\[ 6x - 2 = 6x - 3. \]

3. Subtract \(6x\) from both sides: \[ 6x - 2 - 6x = 6x - 3 - 6x \implies -2 = -3. \]

This statement \(-2 = -3\) is false, which means there are no solutions to the equation.

Therefore, the answer is:

\[ \text{No solution.} \]