.11(x-27)+.33(x+3)=x+25

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Solution for .11(x-27)+.33(x+3)=x+25 equation:


Simplifying
0.11(x + -27) + 0.33(x + 3) = x + 25

Reorder the terms:
0.11(-27 + x) + 0.33(x + 3) = x + 25
(-27 * 0.11 + x * 0.11) + 0.33(x + 3) = x + 25
(-2.97 + 0.11x) + 0.33(x + 3) = x + 25

Reorder the terms:
-2.97 + 0.11x + 0.33(3 + x) = x + 25
-2.97 + 0.11x + (3 * 0.33 + x * 0.33) = x + 25
-2.97 + 0.11x + (0.99 + 0.33x) = x + 25

Reorder the terms:
-2.97 + 0.99 + 0.11x + 0.33x = x + 25

Combine like terms: -2.97 + 0.99 = -1.98
-1.98 + 0.11x + 0.33x = x + 25

Combine like terms: 0.11x + 0.33x = 0.44x
-1.98 + 0.44x = x + 25

Reorder the terms:
-1.98 + 0.44x = 25 + x

Solving
-1.98 + 0.44x = 25 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-1.98 + 0.44x + -1x = 25 + x + -1x

Combine like terms: 0.44x + -1x = -0.56x
-1.98 + -0.56x = 25 + x + -1x

Combine like terms: x + -1x = 0
-1.98 + -0.56x = 25 + 0
-1.98 + -0.56x = 25

Add '1.98' to each side of the equation.
-1.98 + 1.98 + -0.56x = 25 + 1.98

Combine like terms: -1.98 + 1.98 = 0.00
0.00 + -0.56x = 25 + 1.98
-0.56x = 25 + 1.98

Combine like terms: 25 + 1.98 = 26.98
-0.56x = 26.98

Divide each side by '-0.56'.
x = -48.17857143

Simplifying
x = -48.17857143

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