Question

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

Answer 1

x= -7

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

Answer 2

x = -7

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.