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QuestionSolve for xx in the equation: 45+85=53x+85−99x45 + 85 = 53x + 85 - 99x. Express xx as an integer, fraction, or rounded decimal.

Studdy Solution

STEP 1

Assumptions1. We are solving for the variable xx in the equation 45+85=53x+85−99x45+85=53x+85-99x. . The equation is linear, meaning it involves no operations on xx other than multiplication by a constant and addition or subtraction.
3. The solution can be expressed as an integer, a simplified fraction, or a decimal number rounded to two places.

STEP 2

First, we simplify both sides of the equation by performing the addition operation.
45+85=53x+85−99x45 +85 =53x +85 -99x

STEP 3

Calculate the sum on the left side of the equation.
130=53x+85−99x130 =53x +85 -99x

STEP 4

Next, we simplify the right side of the equation by combining like terms.
130=(53x−99x)+85130 = (53x -99x) +85

STEP 5

Calculate the difference between the terms involving xx.
130=−46x+85130 = -46x +85

STEP 6

To isolate xx, we first move the constant term from the right side of the equation to the left side by subtracting85 from both sides.
130−85=−46x130 -85 = -46x

STEP 7

Calculate the difference on the left side of the equation.
45=−46x45 = -46x

STEP 8

Finally, we solve for xx by dividing both sides of the equation by -46.
x=45−46x = \frac{45}{-46}

STEP 9

implify the right side of the equation to get the value of xx.
x=−4546x = -\frac{45}{46}So, the solution to the equation is x=−4546x = -\frac{45}{46}, which is approximately −.98-.98 when rounded to two decimal places.

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