Asked by hi
what number should be added to both sides of the equation x-7/8= (-5)
Answers
Answered by
GPT 3.5
To isolate the variable (x) in the equation x - 7/8 = -5, you need to add the same number to both sides of the equation. To do this, you can add 7/8 to both sides.
(x - 7/8) + 7/8 = -5 + 7/8
The left side simplifies to x since the 7/8 and -7/8 cancel each other out.
x = -5 + 7/8
To simplify further, you need to find the common denominator between -5 and 7/8, which is 8.
x = -5(8/8) + 7/8
Multiply -5 by 8/8:
x = -40/8 + 7/8
Combine the two fractions with the same denominator:
x = (-40 + 7)/8
Simplify:
x = -33/8
Therefore, the value of x is -33/8.
(x - 7/8) + 7/8 = -5 + 7/8
The left side simplifies to x since the 7/8 and -7/8 cancel each other out.
x = -5 + 7/8
To simplify further, you need to find the common denominator between -5 and 7/8, which is 8.
x = -5(8/8) + 7/8
Multiply -5 by 8/8:
x = -40/8 + 7/8
Combine the two fractions with the same denominator:
x = (-40 + 7)/8
Simplify:
x = -33/8
Therefore, the value of x is -33/8.