solve for "x": 0.75(8x-24)-4x=-182
6x-18-4x=-182
2x=-182+18
2x=-200
x=-100
Check: 0.75(8x-24)-4x=-182
0.75(-800-24)-400=-182
0.75 (-824)-400=-182
-618-400=-182?
What is wrong?
You added a negative sign in front of 800 when checking.
solve for x
0.75(8x-24)-4x=-182
6x-18-4x=-182
2x=-182+18
2x=-164
x=-82
While checking it should've been
0.75(-800-24)+400=-182
.75(8x-24)-4x=-182
-492-18+328=-182
-510+328=-182
-182=-182
if x=-82
It seems like there was a mistake in your calculation. Let's go through the steps again to find the correct solution.
Starting with the equation: 0.75(8x-24)-4x=-182
1. Distribute 0.75 to the terms inside the parentheses:
6x - 18 - 4x = -182.
2. Combine like terms on the left side of the equation:
2x - 18 = -182.
3. To isolate the variable, add 18 to both sides of the equation:
2x = -182 + 18.
2x = -164.
4. Finally, divide both sides of the equation by 2 to solve for x:
x = -164 / 2.
x = -82.
Now, let's check the solution:
0.75(8x-24) - 4x = -182
0.75(8*(-82)-24) - 4*(-82) = -182
0.75(-656-24) + 328 = -182
0.75*(-680) + 328 = -182
-510 + 328 = -182
-182 = -182.
The equation is balanced and both sides are equal, so the solution x = -82 is correct.