Solve for x: 13x+24=3x−26.

5 answers

To solve for x in the equation 13x + 24 = 3x - 26, we need to simplify and isolate the variable x.

First, let's combine like terms by subtracting 3x from both sides of the equation:
13x - 3x + 24 = 3x - 3x - 26
10x + 24 = -26

Next, let's isolate the variable x by subtracting 24 from both sides of the equation:
10x + 24 - 24 = -26 - 24
10x = -50

Finally, divide both sides of the equation by 10 to solve for x:
(10x)/10 = -50/10
x = -5

Therefore, the solution to the equation is x = -5.
Solve for x: −12x+20=−10x+32.
To solve for x in the equation -12x + 20 = -10x + 32, we will simplify and isolate the variable x.

First, let's combine like terms by subtracting -10x from both sides of the equation:
-12x + 10x + 20 = -10x + 10x + 32
-2x + 20 = 32

Next, let's isolate the variable x by subtracting 20 from both sides of the equation:
-2x + 20 - 20 = 32 - 20
-2x = 12

Finally, divide both sides of the equation by -2 to solve for x:
(-2x)/-2 = 12/-2
x = -6

Therefore, the solution to the equation is x = -6.
Solve for x: 5x+2=3x−20.
To solve for x in the equation 5x + 2 = 3x - 20, we will simplify and isolate the variable x.

First, let's subtract 3x from both sides of the equation:
5x - 3x + 2 = 3x - 3x - 20
2x + 2 = -20

Next, let's isolate the variable x by subtracting 2 from both sides of the equation:
2x + 2 - 2 = -20 - 2
2x = -22

Finally, divide both sides of the equation by 2 to solve for x:
(2x)/2 = -22/2
x = -11

Therefore, the solution to the equation is x = -11.
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