Solve the following equation for xx. Express your answer in the simplest form.minus, 5, plus, 4, left bracket, 2, x, minus, 9, right bracket, equals, one half, left bracket, minus, 10, x, minus, 2, right bracket, plus, 2−5+4(2x−9)=21 (−10x−2)+2
Question
Solve the following equation for xx. Express your answer in the simplest form.minus, 5, plus, 4, left bracket, 2, x, minus, 9, right bracket, equals, one half, left bracket, minus, 10, x, minus, 2, right bracket, plus, 2−5+4(2x−9)=21 (−10x−2)+2
Solution
The equation you provided is: -5 + 4(2x - 9) = 1/2(-10x - 2) + 2
Let's solve it step by step:
Step 1: Distribute the 4 on the left side of the equation and the 1/2 on the right side of the equation:
-5 + 8x - 36 = -5x - 1 + 2
Step 2: Simplify both sides of the equation:
8x - 41 = -5x + 1
Step 3: Add 5x to both sides of the equation to get all the x terms on one side:
13x - 41 = 1
Step 4: Add 41 to both sides of the equation to isolate the x term:
13x = 42
Step 5: Divide both sides of the equation by 13 to solve for x:
x = 42/13
So, the solution to the equation is x = 42/13.
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