.75(3x+1)=3(2-2x)+3

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Solution for .75(3x+1)=3(2-2x)+3 equation: 


Simplifying
0.75(3x + 1) = 3(2 + -2x) + 3

Reorder the terms:
0.75(1 + 3x) = 3(2 + -2x) + 3
(1 * 0.75 + 3x * 0.75) = 3(2 + -2x) + 3
(0.75 + 2.25x) = 3(2 + -2x) + 3
0.75 + 2.25x = (2 * 3 + -2x * 3) + 3
0.75 + 2.25x = (6 + -6x) + 3

Reorder the terms:
0.75 + 2.25x = 6 + 3 + -6x

Combine like terms: 6 + 3 = 9
0.75 + 2.25x = 9 + -6x

Solving
0.75 + 2.25x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
0.75 + 2.25x + 6x = 9 + -6x + 6x

Combine like terms: 2.25x + 6x = 8.25x
0.75 + 8.25x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
0.75 + 8.25x = 9 + 0
0.75 + 8.25x = 9

Add '-0.75' to each side of the equation.
0.75 + -0.75 + 8.25x = 9 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 8.25x = 9 + -0.75
8.25x = 9 + -0.75

Combine like terms: 9 + -0.75 = 8.25
8.25x = 8.25

Divide each side by '8.25'.
x = 1

Simplifying
x = 1

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