To solve the equation − 6 x + 10 = 46 , first isolate the variable by subtracting 10 from both sides, giving − 6 x = 36 . Next, divide by -6 to find x = − 6 and check your solution by substituting back into the original equation. The correct solution is x = − 6 .
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x = -6 ;
To solve the equation − 6 x + 10 = 46 , you need to isolate the variable x . Here's how you can do it step-by-step:
Subtract 10 from both sides :
Start by getting rid of the constant term on the left side of the equation. Subtract 10 from both sides:
− 6 x + 10 − 10 = 46 − 10
This simplifies to:
− 6 x = 36
Divide both sides by -6 :
Now, you need to get x by itself. Since − 6 x means − 6 × x , divide both sides of the equation by − 6 :
− 6 − 6 x = − 6 36
Simplifying this gives:
x = − 6
So, x = − 6 is the solution to the equation. This means that when x = − 6 , the original equation holds true, confirming the solution is correct.