Solve the following equation for xx. Express your answer in the simplest form.minus, 4, left bracket, minus, 5, x, plus, 6, right bracket, equals, minus, 3, left bracket, minus, 4, x, plus, 5, right bracket−4(−5x+6)=−3(−4x+5)
Question
Solve the following equation for xx. Express your answer in the simplest form.minus, 4, left bracket, minus, 5, x, plus, 6, right bracket, equals, minus, 3, left bracket, minus, 4, x, plus, 5, right bracket−4(−5x+6)=−3(−4x+5)
Solution
Sure, let's solve the equation step by step:
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Distribute the numbers outside the brackets to every term inside the brackets:
-4 * -5x + -4 * 6 = -3 * -4x + -3 * 5
This simplifies to:
20x - 24 = 12x - 15
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Next, let's get all the x terms on one side of the equation and the numbers on the other side. We can do this by subtracting 12x from both sides and adding 24 to both sides:
20x - 12x = -15 + 24
This simplifies to:
8x = 9
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Finally, to solve for x, we divide both sides of the equation by 8:
x = 9/8
So, the solution to the equation is x = 9/8.
Similar Questions
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