.2(25x-75)+9=.25(8x+36)

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Solution for .2(25x-75)+9=.25(8x+36) equation:


Simplifying
0.2(25x + -75) + 9 = 0.25(8x + 36)

Reorder the terms:
0.2(-75 + 25x) + 9 = 0.25(8x + 36)
(-75 * 0.2 + 25x * 0.2) + 9 = 0.25(8x + 36)
(-15 + 5x) + 9 = 0.25(8x + 36)

Reorder the terms:
-15 + 9 + 5x = 0.25(8x + 36)

Combine like terms: -15 + 9 = -6
-6 + 5x = 0.25(8x + 36)

Reorder the terms:
-6 + 5x = 0.25(36 + 8x)
-6 + 5x = (36 * 0.25 + 8x * 0.25)
-6 + 5x = (9 + 2x)

Solving
-6 + 5x = 9 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
-6 + 5x + -2x = 9 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-6 + 3x = 9 + 2x + -2x

Combine like terms: 2x + -2x = 0
-6 + 3x = 9 + 0
-6 + 3x = 9

Add '6' to each side of the equation.
-6 + 6 + 3x = 9 + 6

Combine like terms: -6 + 6 = 0
0 + 3x = 9 + 6
3x = 9 + 6

Combine like terms: 9 + 6 = 15
3x = 15

Divide each side by '3'.
x = 5

Simplifying
x = 5

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