.75(2x-5)=-6+1.25(3x+9)

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Solution for .75(2x-5)=-6+1.25(3x+9) equation: 


Simplifying
0.75(2x + -5) = -6 + 1.25(3x + 9)

Reorder the terms:
0.75(-5 + 2x) = -6 + 1.25(3x + 9)
(-5 * 0.75 + 2x * 0.75) = -6 + 1.25(3x + 9)
(-3.75 + 1.5x) = -6 + 1.25(3x + 9)

Reorder the terms:
-3.75 + 1.5x = -6 + 1.25(9 + 3x)
-3.75 + 1.5x = -6 + (9 * 1.25 + 3x * 1.25)
-3.75 + 1.5x = -6 + (11.25 + 3.75x)

Combine like terms: -6 + 11.25 = 5.25
-3.75 + 1.5x = 5.25 + 3.75x

Solving
-3.75 + 1.5x = 5.25 + 3.75x

Solving for variable 'x'.

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

Add '-3.75x' to each side of the equation.
-3.75 + 1.5x + -3.75x = 5.25 + 3.75x + -3.75x

Combine like terms: 1.5x + -3.75x = -2.25x
-3.75 + -2.25x = 5.25 + 3.75x + -3.75x

Combine like terms: 3.75x + -3.75x = 0.00
-3.75 + -2.25x = 5.25 + 0.00
-3.75 + -2.25x = 5.25

Add '3.75' to each side of the equation.
-3.75 + 3.75 + -2.25x = 5.25 + 3.75

Combine like terms: -3.75 + 3.75 = 0.00
0.00 + -2.25x = 5.25 + 3.75
-2.25x = 5.25 + 3.75

Combine like terms: 5.25 + 3.75 = 9
-2.25x = 9

Divide each side by '-2.25'.
x = -4

Simplifying
x = -4

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