0.75(9+x)=-5(4-x)

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Solution for 0.75(9+x)=-5(4-x) equation: 


Simplifying
0.75(9 + x) = -5(4 + -1x)
(9 * 0.75 + x * 0.75) = -5(4 + -1x)
(6.75 + 0.75x) = -5(4 + -1x)
6.75 + 0.75x = (4 * -5 + -1x * -5)
6.75 + 0.75x = (-20 + 5x)

Solving
6.75 + 0.75x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6.75 + 0.75x + -5x = -20 + 5x + -5x

Combine like terms: 0.75x + -5x = -4.25x
6.75 + -4.25x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
6.75 + -4.25x = -20 + 0
6.75 + -4.25x = -20

Add '-6.75' to each side of the equation.
6.75 + -6.75 + -4.25x = -20 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + -4.25x = -20 + -6.75
-4.25x = -20 + -6.75

Combine like terms: -20 + -6.75 = -26.75
-4.25x = -26.75

Divide each side by '-4.25'.
x = 6.294117647

Simplifying
x = 6.294117647

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