.375(2x-8)=.25x+9

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Solution for .375(2x-8)=.25x+9 equation:


Simplifying
0.375(2x + -8) = 0.25x + 9

Reorder the terms:
0.375(-8 + 2x) = 0.25x + 9
(-8 * 0.375 + 2x * 0.375) = 0.25x + 9
(-3 + 0.75x) = 0.25x + 9

Reorder the terms:
-3 + 0.75x = 9 + 0.25x

Solving
-3 + 0.75x = 9 + 0.25x

Solving for variable 'x'.

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

Add '-0.25x' to each side of the equation.
-3 + 0.75x + -0.25x = 9 + 0.25x + -0.25x

Combine like terms: 0.75x + -0.25x = 0.5x
-3 + 0.5x = 9 + 0.25x + -0.25x

Combine like terms: 0.25x + -0.25x = 0.00
-3 + 0.5x = 9 + 0.00
-3 + 0.5x = 9

Add '3' to each side of the equation.
-3 + 3 + 0.5x = 9 + 3

Combine like terms: -3 + 3 = 0
0 + 0.5x = 9 + 3
0.5x = 9 + 3

Combine like terms: 9 + 3 = 12
0.5x = 12

Divide each side by '0.5'.
x = 24

Simplifying
x = 24

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