How do I solve this equation 1x - 15 = 5x + 13

x = -7

Step-by-step explanation:

This is a multi-step equation in algebra. We are expected to isolate the given variable and find the constant value that it is equal to. In order to do this, we can follow some steps:

1x - 15 = 5x + 13 Subtract 5x on both sides of the equation.

-4x - 15 = 13 Add 15 to both sides of the equation.

-4x = 28 Divide by -4 on both sides of the equation.

x = -7

You can input this value and make sure that the answer is correct.

1(-7) - 15 = 5(-7) + 13

-7 - 15 = -35 + 13

-22 = -22

-22 equals -22, so x = -7 is the solution to the equation.

x= -7

Step-by-step explanation:

We are given the equation:

1x-15=5x+13

We want to solve for x. Therefore, we must isolate x on one side of the equation.

First, let’s move all the terms with variables to one side. Subtract 1x from both sides.

1x-1x-15=5x-1x+13

-15= (5x-1x)+13

-15=4x+13

Next, move all the constants, or terms without variables to one side. Subtract 13 from both sides.

-15-13=4x+13-13

-15-13=4x

-28=4x

Finally, divide both sides by 4. We should divide because x is being multiplied by 4 and the inverse of multiplication is division.

-28/4=4x/4

-28/4=x

-7=x

Let’s check our solution. Plug -7 in for x and solve.

1x - 15 = 5x + 13

1(-7) - 15 = 5(-7) + 13

-7-15=5(-7)+13

-22= 5(-7)+13

-22= -35+13

-22=-22

This checks out, so we know our solution is correct.

The solution to 1x - 15 = 5x + 13 is x= -7

arc length = 6.63311 ft.

step-by-step explanation:

the formula the arc measure is:

arc length s=2πr(c)/360

where:

c   is the central angle of the arc in degrees

r   is the radius of the arc

π   is pi, approximately 3.142

using the above formula we get

s =

thus we find that arc length of an arc for a circle of radius 20 feet and central angle 19 degrees is

6.63311 feet