(.33x+.33)+(2x+1.33)=5x-1

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Solution for (.33x+.33)+(2x+1.33)=5x-1 equation:


Simplifying
(0.33x + 0.33) + (2x + 1.33) = 5x + -1

Reorder the terms:
(0.33 + 0.33x) + (2x + 1.33) = 5x + -1

Remove parenthesis around (0.33 + 0.33x)
0.33 + 0.33x + (2x + 1.33) = 5x + -1

Reorder the terms:
0.33 + 0.33x + (1.33 + 2x) = 5x + -1

Remove parenthesis around (1.33 + 2x)
0.33 + 0.33x + 1.33 + 2x = 5x + -1

Reorder the terms:
0.33 + 1.33 + 0.33x + 2x = 5x + -1

Combine like terms: 0.33 + 1.33 = 1.66
1.66 + 0.33x + 2x = 5x + -1

Combine like terms: 0.33x + 2x = 2.33x
1.66 + 2.33x = 5x + -1

Reorder the terms:
1.66 + 2.33x = -1 + 5x

Solving
1.66 + 2.33x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
1.66 + 2.33x + -5x = -1 + 5x + -5x

Combine like terms: 2.33x + -5x = -2.67x
1.66 + -2.67x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
1.66 + -2.67x = -1 + 0
1.66 + -2.67x = -1

Add '-1.66' to each side of the equation.
1.66 + -1.66 + -2.67x = -1 + -1.66

Combine like terms: 1.66 + -1.66 = 0.00
0.00 + -2.67x = -1 + -1.66
-2.67x = -1 + -1.66

Combine like terms: -1 + -1.66 = -2.66
-2.67x = -2.66

Divide each side by '-2.67'.
x = 0.9962546816

Simplifying
x = 0.9962546816

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