.4(25x-75)+18=.5(8x+36)

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Solution for .4(25x-75)+18=.5(8x+36) equation:


Simplifying
0.4(25x + -75) + 18 = 0.5(8x + 36)

Reorder the terms:
0.4(-75 + 25x) + 18 = 0.5(8x + 36)
(-75 * 0.4 + 25x * 0.4) + 18 = 0.5(8x + 36)
(-30 + 10x) + 18 = 0.5(8x + 36)

Reorder the terms:
-30 + 18 + 10x = 0.5(8x + 36)

Combine like terms: -30 + 18 = -12
-12 + 10x = 0.5(8x + 36)

Reorder the terms:
-12 + 10x = 0.5(36 + 8x)
-12 + 10x = (36 * 0.5 + 8x * 0.5)
-12 + 10x = (18 + 4x)

Solving
-12 + 10x = 18 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-12 + 10x + -4x = 18 + 4x + -4x

Combine like terms: 10x + -4x = 6x
-12 + 6x = 18 + 4x + -4x

Combine like terms: 4x + -4x = 0
-12 + 6x = 18 + 0
-12 + 6x = 18

Add '12' to each side of the equation.
-12 + 12 + 6x = 18 + 12

Combine like terms: -12 + 12 = 0
0 + 6x = 18 + 12
6x = 18 + 12

Combine like terms: 18 + 12 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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