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Solve for x: 4x -5 =-2x +55

1 point
x=55
x=30
x=-5

1 answer

To solve the equation \(4x - 5 = -2x + 55\), follow these steps:

  1. Add \(2x\) to both sides to get all the \(x\) terms on one side: \[ 4x + 2x - 5 = 55 \] This simplifies to: \[ 6x - 5 = 55 \]

  2. Next, add \(5\) to both sides to isolate the term with \(x\): \[ 6x = 55 + 5 \] This simplifies to: \[ 6x = 60 \]

  3. Now, divide both sides by \(6\): \[ x = \frac{60}{6} \] This simplifies to: \[ x = 10 \]

It looks like the answer \(x=10\) is not one of the options provided. There appears to be no alignment with the given options (55, 30, or -5). Please check the original equation or options again.