5(x-3) = 2(x+3) solve for x
2 answers:
Answer:
x = 7
Step-by-step explanation:
Equation: 5(x-3) = 2(x+3)
Step 1: Simplify the equation.
5 (x − 3) = 2(x + 3)
(5)(x) + (5)(−3) = (2)(x) + (2)(3) Distribute
5x + −15 = 2x + 6
5x − 15 = 2x + 6
Step 2: Subtract 2x.
5x − 15 −2x = 2x + 6 −2x
3x − 15 = 6
Step 3: Add 15.
3x − 15 + 15 = 6 + 15
3x = 21
Step 4: Divide by 3.
Step 5: Divide 21 by 3.
The answer is x = 7.
You might be interested in
Let
x------> the length of the rectangle
y------> the width of the rectangle
we know that
The area of a rectangle is equal to
so
--------> equation 1
let's assume different values of x to get the different values of y
<u>case 1)</u> For x=64 units
substitute in the equation 1
the dimensions of the rectangle are 64 units x 1 unit
see the draw in the attached figure N 1
<u>case 2)</u> For x=32 units
substitute in the equation 1
the dimensions of the rectangle are 32 units x 2 units
see the draw in the attached figure N 2
<u>case 3)</u> For x=16 units
substitute in the equation 1
the dimensions of the rectangle are 16 units x 4 units
see the draw in the attached figure N 3
<u>case 4)</u> For x=30 units
substitute in the equation 1
the dimensions of the rectangle are 30 units x 2 (2/15) units
see the draw in the attached figure N 4
<u>case 5)</u> For x=40 units
substitute in the equation 1
the dimensions of the rectangle are 40 units x 1.60 units
see the draw in the attached figure N 5
<u>case 6)</u> For x=60 units
substitute in the equation 1
the dimensions of the rectangle are 60 units x 1 (1/15) units
see the draw in the attached figure N 6
