Question

What is -(5x-8)=3(x-2)+14​

Answer 1

Answer: 0=x

Let’s start by rewriting the equation

-(5x-8)=3(x-2)+14

Now let’s distribute. Distribution in math is when you multiply the outside number (-1) by the numbers on the inside (5x;-8). Let’s start on the left side.

-(5x-8)=3(x-2)+14

-5x+8=3(x-2)+14

Let’s now do the same thing on the right side

-5x+8=3x-6+14

Now that we have distribution done, let’s move onto the second step. Combining like terms. This is when you add numbers on the same side of the equation share the same variable, or lack of. Let’s do this now.

-5x+8=3x-6+14

-5x+8=3x+8

Let’s now add 5x on both sides, working to isolate a constant number on one side.

-5x+8=3x+8
+5x +5x
_________
8=8x+8

Now let’s work to solve for x. Let’s first isolate 8x on the right side by subtracting 8 on both sides.

8=8x+8
-8 -8
______
0=8x

To find your final answer for x, let’s undo the multiplication between 8 and x. We’ll do this by division. Let’s divide 0 and 8x by 8 for your final answer.

0=8x

0/8=8x/8

0=x

This is your answer! Hope this helps comment below for more questions :)

Answer 2

x = 0

Step-by-step explanation:

Equation: −(5x−8)=3(x−2)+14

Step 1: Simplify both sides of the equation.

−(5x − 8) = 3(x−2) + 14

−5x + 8 = (3)(x) + (3)(−2) + 14 (Distribute)

−5x + 8 = 3x + −6 + 14

−5x+8=(3x)+(−6+14)(Combine Like Terms)

−5x + 8 = 3x + 8

−5x + 8 = 3x + 8

Step 2: Subtract 3x from both sides.

−5x + 8 − 3x = 3x + 8 − 3x

−8x + 8 = 8

Step 3: Subtract 8 from both sides.

−8x + 8 − 8 = 8 − 8

−8x = 0

Step 4: Divide both sides by -8.

-8x / -8 = 0 / -8

x = 0