3x+7=5x + 2(3-x)+1
3x+7=5x + 2(3-x)+1
3x + 7 = 5x + 6 - 2x + 1
3x + 7 = 3x + 7
The two sides are equal for any x, therefore, there are infinite values of x that satisfy the equation.
3x+7=5x + 2(3-x)+1
3x + 7 = 5x + 6 - 2x + 1
3x + 7 = 3x + 7
The two sides are equal for any x, therefore, there are infinite values of x that satisfy the equation.
Nathan C. answered 12/04/24
Experienced Tutor Specializing in Algebra, Geometry, and Trig.
I assume we are solving for value x.
First, let's multiply out the parentheses on the ride side of the equation:
3x + 7 = 5x + 6 - 2x + 1
Now, add like terms and simplify:
3x + 7 = 3x + 7
Next, we want tot try to get x by itself on the left side of the equation. To do this, subtract 7 from both sides of the equation. This leaves us with:
3x = 3x
Finally, we divide by 3 to isolate x. This leaves us with:
x = x.
A solution of x equaling itself resembles infinite solutions, since any value of x will satisfy the equation.
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