Solve the following equation for xx. Express your answer in the simplest form.minus, one half, left bracket, 6, x, minus, 2, right bracket, plus, 10, equals, minus, 2, left bracket, 7, x, plus, 9, right bracket, minus, 8− 21 (6x−2)+10=−2(7x+9)−8
Question
Solve the following equation for xx. Express your answer in the simplest form.minus, one half, left bracket, 6, x, minus, 2, right bracket, plus, 10, equals, minus, 2, left bracket, 7, x, plus, 9, right bracket, minus, 8− 21 (6x−2)+10=−2(7x+9)−8
Solution
The equation you provided is: -1/2(6x - 2) + 10 = -2(7x + 9) - 8. Let's solve it step by step:
Step 1: Distribute the numbers outside the brackets: -3x + 1 + 10 = -14x - 18 - 8
Step 2: Simplify both sides of the equation: -3x + 11 = -14x - 26
Step 3: Add 14x to both sides to get all the x terms on one side: -3x + 14x + 11 = -14x + 14x - 26 11x + 11 = -26
Step 4: Subtract 11 from both sides to isolate the x term: 11x = -26 - 11 11x = -37
Step 5: Divide both sides by 11 to solve for x: x = -37/11 x = -3.36 (rounded to two decimal places)
Similar Questions
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