-.11(x-27)+.33(x+3)=x-17

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Solution for -.11(x-27)+.33(x+3)=x-17 equation:


Simplifying
-0.11(x + -27) + 0.33(x + 3) = x + -17

Reorder the terms:
-0.11(-27 + x) + 0.33(x + 3) = x + -17
(-27 * -0.11 + x * -0.11) + 0.33(x + 3) = x + -17
(2.97 + -0.11x) + 0.33(x + 3) = x + -17

Reorder the terms:
2.97 + -0.11x + 0.33(3 + x) = x + -17
2.97 + -0.11x + (3 * 0.33 + x * 0.33) = x + -17
2.97 + -0.11x + (0.99 + 0.33x) = x + -17

Reorder the terms:
2.97 + 0.99 + -0.11x + 0.33x = x + -17

Combine like terms: 2.97 + 0.99 = 3.96
3.96 + -0.11x + 0.33x = x + -17

Combine like terms: -0.11x + 0.33x = 0.22x
3.96 + 0.22x = x + -17

Reorder the terms:
3.96 + 0.22x = -17 + x

Solving
3.96 + 0.22x = -17 + 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.
3.96 + 0.22x + -1x = -17 + x + -1x

Combine like terms: 0.22x + -1x = -0.78x
3.96 + -0.78x = -17 + x + -1x

Combine like terms: x + -1x = 0
3.96 + -0.78x = -17 + 0
3.96 + -0.78x = -17

Add '-3.96' to each side of the equation.
3.96 + -3.96 + -0.78x = -17 + -3.96

Combine like terms: 3.96 + -3.96 = 0.00
0.00 + -0.78x = -17 + -3.96
-0.78x = -17 + -3.96

Combine like terms: -17 + -3.96 = -20.96
-0.78x = -20.96

Divide each side by '-0.78'.
x = 26.87179487

Simplifying
x = 26.87179487

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