0.75(x-35.8)=x-22.4

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Solution for 0.75(x-35.8)=x-22.4 equation: 


Simplifying
0.75(x + -35.8) = x + -22.4

Reorder the terms:
0.75(-35.8 + x) = x + -22.4
(-35.8 * 0.75 + x * 0.75) = x + -22.4
(-26.85 + 0.75x) = x + -22.4

Reorder the terms:
-26.85 + 0.75x = -22.4 + x

Solving
-26.85 + 0.75x = -22.4 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-26.85 + 0.75x + -1x = -22.4 + x + -1x

Combine like terms: 0.75x + -1x = -0.25x
-26.85 + -0.25x = -22.4 + x + -1x

Combine like terms: x + -1x = 0
-26.85 + -0.25x = -22.4 + 0
-26.85 + -0.25x = -22.4

Add '26.85' to each side of the equation.
-26.85 + 26.85 + -0.25x = -22.4 + 26.85

Combine like terms: -26.85 + 26.85 = 0.00
0.00 + -0.25x = -22.4 + 26.85
-0.25x = -22.4 + 26.85

Combine like terms: -22.4 + 26.85 = 4.45
-0.25x = 4.45

Divide each side by '-0.25'.
x = -17.8

Simplifying
x = -17.8

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