Solve the following equation for xx. Express your answer in the simplest form.minus, 2, left bracket, minus, 2, x, minus, 1, right bracket, minus, 2, equals, minus, left bracket, 9, x, minus, 3, right bracket, minus, 8−2(−2x−1)−2=−(9x−3)−8
Question
Solve the following equation for xx. Express your answer in the simplest form.minus, 2, left bracket, minus, 2, x, minus, 1, right bracket, minus, 2, equals, minus, left bracket, 9, x, minus, 3, right bracket, minus, 8−2(−2x−1)−2=−(9x−3)−8
Solution
The equation is -2(-2x - 1) - 2 = -(9x - 3) - 8.
Step 1: Distribute the -2 in the left side of the equation and the -1 in the right side of the equation.
This gives us: 4x + 2 - 2 = -9x + 3 - 8.
Step 2: Simplify both sides of the equation.
This gives us: 4x = -9x - 3.
Step 3: Add 9x to both sides of the equation to get x on one side.
This gives us: 13x = -3.
Step 4: Divide both sides of the equation by 13 to solve for x.
This gives us: x = -3/13.
So, the solution to the equation is x = -3/13.
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