.33(x+1)=.22x+.77

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Solution for .33(x+1)=.22x+.77 equation:


Simplifying
0.33(x + 1) = 0.22x + 0.77

Reorder the terms:
0.33(1 + x) = 0.22x + 0.77
(1 * 0.33 + x * 0.33) = 0.22x + 0.77
(0.33 + 0.33x) = 0.22x + 0.77

Reorder the terms:
0.33 + 0.33x = 0.77 + 0.22x

Solving
0.33 + 0.33x = 0.77 + 0.22x

Solving for variable 'x'.

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

Add '-0.22x' to each side of the equation.
0.33 + 0.33x + -0.22x = 0.77 + 0.22x + -0.22x

Combine like terms: 0.33x + -0.22x = 0.11x
0.33 + 0.11x = 0.77 + 0.22x + -0.22x

Combine like terms: 0.22x + -0.22x = 0.00
0.33 + 0.11x = 0.77 + 0.00
0.33 + 0.11x = 0.77

Add '-0.33' to each side of the equation.
0.33 + -0.33 + 0.11x = 0.77 + -0.33

Combine like terms: 0.33 + -0.33 = 0.00
0.00 + 0.11x = 0.77 + -0.33
0.11x = 0.77 + -0.33

Combine like terms: 0.77 + -0.33 = 0.44
0.11x = 0.44

Divide each side by '0.11'.
x = 4

Simplifying
x = 4

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