Solve the following equation for xx. Express your answer in the simplest form.8, left bracket, minus, 5, x, plus, 6, right bracket, equals, minus, left bracket, minus, 5, x, plus, 4, right bracket8(−5x+6)=−(−5x+4)Answer
Question
Solve the following equation for xx. Express your answer in the simplest form.8, left bracket, minus, 5, x, plus, 6, right bracket, equals, minus, left bracket, minus, 5, x, plus, 4, right bracket8(−5x+6)=−(−5x+4)Answer
Solution
To solve the equation 8(-5x + 6) = -(-5x + 4), follow these steps:
Step 1: Distribute the 8 on the left side of the equation and the -1 on the right side of the equation. This gives us: -40x + 48 = 5x - 4
Step 2: Move the x terms to one side of the equation and the constants to the other side. This gives us: -40x - 5x = -4 - 48
Step 3: Simplify both sides of the equation. This gives us: -45x = -52
Step 4: Divide both sides of the equation by -45 to solve for x. This gives us: x = 52/45
So, the solution to the equation is x = 52/45.
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