Solve the following equation for xx. Express your answer in the simplest form.one half, left bracket, minus, 6, x, plus, 6, right bracket, plus, 10, equals, minus, 9, x, plus, 6, left bracket, x, plus, 2, right bracket21 (−6x+6)+10=−9x+6(x+2)
Question
Solve the following equation for xx. Express your answer in the simplest form.one half, left bracket, minus, 6, x, plus, 6, right bracket, plus, 10, equals, minus, 9, x, plus, 6, left bracket, x, plus, 2, right bracket21 (−6x+6)+10=−9x+6(x+2)
Solution
The equation you've provided is:
1/2 * (-6x + 6) + 10 = -9x + 6 * (x + 2)
Let's solve it step by step:
Step 1: Distribute the 1/2 to both terms in the first bracket and the 6 to both terms in the second bracket:
-3x + 3 + 10 = -9x + 6x + 12
Step 2: Simplify both sides of the equation:
-3x + 13 = -3x + 12
Step 3: As you can see, the x terms on both sides of the equation cancel out, leaving us with:
13 = 12
This is a contradiction, which means the original equation has no solution.
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