.75(3x+1)=2(3-2x)+11

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Solution for .75(3x+1)=2(3-2x)+11 equation: 


Simplifying
0.75(3x + 1) = 2(3 + -2x) + 11

Reorder the terms:
0.75(1 + 3x) = 2(3 + -2x) + 11
(1 * 0.75 + 3x * 0.75) = 2(3 + -2x) + 11
(0.75 + 2.25x) = 2(3 + -2x) + 11
0.75 + 2.25x = (3 * 2 + -2x * 2) + 11
0.75 + 2.25x = (6 + -4x) + 11

Reorder the terms:
0.75 + 2.25x = 6 + 11 + -4x

Combine like terms: 6 + 11 = 17
0.75 + 2.25x = 17 + -4x

Solving
0.75 + 2.25x = 17 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
0.75 + 2.25x + 4x = 17 + -4x + 4x

Combine like terms: 2.25x + 4x = 6.25x
0.75 + 6.25x = 17 + -4x + 4x

Combine like terms: -4x + 4x = 0
0.75 + 6.25x = 17 + 0
0.75 + 6.25x = 17

Add '-0.75' to each side of the equation.
0.75 + -0.75 + 6.25x = 17 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 6.25x = 17 + -0.75
6.25x = 17 + -0.75

Combine like terms: 17 + -0.75 = 16.25
6.25x = 16.25

Divide each side by '6.25'.
x = 2.6

Simplifying
x = 2.6

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