Solve the following equation for xx. Express your answer in the simplest form.minus, 3, left bracket, x, plus, 1, right bracket, plus, 3, equals, start fraction, 3, divided by, 2, end fraction, left bracket, minus, 2, x, plus, 2, right bracket, minus, 2−3(x+1)+3=23 (−2x+2)−2
Question
Solve the following equation for xx. Express your answer in the simplest form.minus, 3, left bracket, x, plus, 1, right bracket, plus, 3, equals, start fraction, 3, divided by, 2, end fraction, left bracket, minus, 2, x, plus, 2, right bracket, minus, 2−3(x+1)+3=23 (−2x+2)−2
Solution
The equation is -3(x+1) + 3 = 3/2(-2x+2) - 2.
Step 1: Distribute the numbers outside the brackets to the terms inside the brackets.
This gives us -3x - 3 + 3 = -3x + 3 - 2.
Step 2: Simplify both sides of the equation.
This gives us -3x = -3x + 1.
Step 3: Add 3x to both sides of the equation to isolate x on one side.
This gives us 0 = 1.
However, 0 does not equal 1. This means that the original equation has no solution.
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