x+6+2x-5.5=(2x+.75)2

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Solution for x+6+2x-5.5=(2x+.75)2 equation: 


Simplifying
x + 6 + 2x + -5.5 = (2x + 0.75) * 2

Reorder the terms:
6 + -5.5 + x + 2x = (2x + 0.75) * 2

Combine like terms: 6 + -5.5 = 0.5
0.5 + x + 2x = (2x + 0.75) * 2

Combine like terms: x + 2x = 3x
0.5 + 3x = (2x + 0.75) * 2

Reorder the terms:
0.5 + 3x = (0.75 + 2x) * 2

Reorder the terms for easier multiplication:
0.5 + 3x = 2(0.75 + 2x)
0.5 + 3x = (0.75 * 2 + 2x * 2)
0.5 + 3x = (1.5 + 4x)

Solving
0.5 + 3x = 1.5 + 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.
0.5 + 3x + -4x = 1.5 + 4x + -4x

Combine like terms: 3x + -4x = -1x
0.5 + -1x = 1.5 + 4x + -4x

Combine like terms: 4x + -4x = 0
0.5 + -1x = 1.5 + 0
0.5 + -1x = 1.5

Add '-0.5' to each side of the equation.
0.5 + -0.5 + -1x = 1.5 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + -1x = 1.5 + -0.5
-1x = 1.5 + -0.5

Combine like terms: 1.5 + -0.5 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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