solve the equation and check
-(9x-4)-(2x-6)+7=-8(x-9)-(6x+2)+4
-(9x-4)-(2x-6)+7=-8(x-9)-(6x+2)+4
-11x -10 +7 = -8x + 72 - 6x + 6
-11x +8x +6x = 3 + 72 + 6
3x = 81
x = 27
Check my answer.
To solve the equation, we will follow these steps:
Step 1: Distribute the negative sign inside the parentheses of the first term on the left side and distribute the negative sign inside the parentheses of the second term on the left side:
-(9x - 4) - (2x - 6) + 7 = -8(x - 9) - (6x + 2) + 4
-1 * 9x + 1 * 4 - 1 * 2x + 1 * 6 + 7 = -8 * x + (-8) * (-9) - 1 * 6x + (-8) * 2 + 4
This simplifies to:
-9x + 4 - 2x + 6 + 7 = -8x + 72 - 6x - 16 + 4
Step 2: Combine like terms on both sides of the equation:
-11x + 17 = -14x + 60
Step 3: Move all the x terms to one side of the equation and the constant terms to the other side. To achieve this, we will add 14x to both sides and subtract 17 from both sides:
-11x + 14x = 60 - 17
3x = 43
Step 4: Solve for x by dividing both sides of the equation by 3:
x = 43/3
Now let's check if this value satisfies the original equation:
Substitute x = 43/3 back into the original equation and simplify:
-(9 * (43/3) - 4) - (2 * (43/3) - 6) + 7 = -8 * ((43/3) - 9) - (6 * (43/3) + 2) + 4
Calculating the above expression will give an overall numerical result. If the result is true (0 = 0), it means that the value of x satisfies the equation.