.75(3x+5)=3(3-4x)+9

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Solution for .75(3x+5)=3(3-4x)+9 equation: 


Simplifying
0.75(3x + 5) = 3(3 + -4x) + 9

Reorder the terms:
0.75(5 + 3x) = 3(3 + -4x) + 9
(5 * 0.75 + 3x * 0.75) = 3(3 + -4x) + 9
(3.75 + 2.25x) = 3(3 + -4x) + 9
3.75 + 2.25x = (3 * 3 + -4x * 3) + 9
3.75 + 2.25x = (9 + -12x) + 9

Reorder the terms:
3.75 + 2.25x = 9 + 9 + -12x

Combine like terms: 9 + 9 = 18
3.75 + 2.25x = 18 + -12x

Solving
3.75 + 2.25x = 18 + -12x

Solving for variable 'x'.

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

Add '12x' to each side of the equation.
3.75 + 2.25x + 12x = 18 + -12x + 12x

Combine like terms: 2.25x + 12x = 14.25x
3.75 + 14.25x = 18 + -12x + 12x

Combine like terms: -12x + 12x = 0
3.75 + 14.25x = 18 + 0
3.75 + 14.25x = 18

Add '-3.75' to each side of the equation.
3.75 + -3.75 + 14.25x = 18 + -3.75

Combine like terms: 3.75 + -3.75 = 0.00
0.00 + 14.25x = 18 + -3.75
14.25x = 18 + -3.75

Combine like terms: 18 + -3.75 = 14.25
14.25x = 14.25

Divide each side by '14.25'.
x = 1

Simplifying
x = 1

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