Enter the value for x that makes the equation 5+3𝑥−37=6𝑥+23−8𝑥5+3x−37=6x+23−8x true.
Question
Enter the value for x that makes the equation
true.
Solution
The equation you provided seems to have a formatting issue. However, I'll assume the equation is 5 + 3x - 37 = 6x + 23 - 8x.
Let's solve it step by step:
Step 1: Simplify both sides of the equation.
On the left side, combine the numbers: 5 - 37 = -32. So, the left side of the equation becomes -32 + 3x.
On the right side, combine the x terms: 6x - 8x = -2x. So, the right side of the equation becomes -2x + 23.
So, the equation now is -32 + 3x = -2x + 23.
Step 2: Get all the x terms on one side and the numbers on the other side.
To do this, add 2x to both sides to get rid of -2x on the right side and add 32 to both sides to get rid of -32 on the left side.
This gives us: 3x + 2x = 23 + 32.
Step 3: Simplify both sides again.
On the left side, 3x + 2x = 5x.
On the right side, 23 + 32 = 55.
So, the equation now is 5x = 55.
Step 4: Solve for x by dividing both sides by 5.
This gives us: x = 55 / 5 = 11.
So, the value of x that makes the equation true is x = 11.
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