.75(3x+9)=4(3-2x)+5

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Solution for .75(3x+9)=4(3-2x)+5 equation: 


Simplifying
0.75(3x + 9) = 4(3 + -2x) + 5

Reorder the terms:
0.75(9 + 3x) = 4(3 + -2x) + 5
(9 * 0.75 + 3x * 0.75) = 4(3 + -2x) + 5
(6.75 + 2.25x) = 4(3 + -2x) + 5
6.75 + 2.25x = (3 * 4 + -2x * 4) + 5
6.75 + 2.25x = (12 + -8x) + 5

Reorder the terms:
6.75 + 2.25x = 12 + 5 + -8x

Combine like terms: 12 + 5 = 17
6.75 + 2.25x = 17 + -8x

Solving
6.75 + 2.25x = 17 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
6.75 + 2.25x + 8x = 17 + -8x + 8x

Combine like terms: 2.25x + 8x = 10.25x
6.75 + 10.25x = 17 + -8x + 8x

Combine like terms: -8x + 8x = 0
6.75 + 10.25x = 17 + 0
6.75 + 10.25x = 17

Add '-6.75' to each side of the equation.
6.75 + -6.75 + 10.25x = 17 + -6.75

Combine like terms: 6.75 + -6.75 = 0.00
0.00 + 10.25x = 17 + -6.75
10.25x = 17 + -6.75

Combine like terms: 17 + -6.75 = 10.25
10.25x = 10.25

Divide each side by '10.25'.
x = 1

Simplifying
x = 1

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