Solve the following equation for xx. Express your answer in the simplest form.4, left bracket, 7, x, minus, 1, right bracket, plus, 4, equals, 7, minus, 8, left bracket, 9, x, plus, 6, right bracket4(7x−1)+4=7−8(9x+6)
Question
Solve the following equation for xx. Express your answer in the simplest form.4, left bracket, 7, x, minus, 1, right bracket, plus, 4, equals, 7, minus, 8, left bracket, 9, x, plus, 6, right bracket4(7x−1)+4=7−8(9x+6)
Solution
Sure, let's solve the equation step by step:
The equation is: 4(7x - 1) + 4 = 7 - 8(9x + 6)
Step 1: Distribute the 4 and -8 into the brackets:
28x - 4 + 4 = 7 - 72x - 48
Step 2: Simplify both sides of the equation:
28x = 7 - 72x - 48 + 4
Step 3: Combine like terms:
28x = -72x - 37
Step 4: Add 72x to both sides to get all the x terms on one side:
28x + 72x = -37
Step 5: Combine like terms:
100x = -37
Step 6: Divide both sides by 100 to solve for x:
x = -37/100
So, the solution to the equation is x = -37/100.
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