-.16(x-18)+.33(x+3)=x+19

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Solution for -.16(x-18)+.33(x+3)=x+19 equation: 


Simplifying
-0.16(x + -18) + 0.33(x + 3) = x + 19

Reorder the terms:
-0.16(-18 + x) + 0.33(x + 3) = x + 19
(-18 * -0.16 + x * -0.16) + 0.33(x + 3) = x + 19
(2.88 + -0.16x) + 0.33(x + 3) = x + 19

Reorder the terms:
2.88 + -0.16x + 0.33(3 + x) = x + 19
2.88 + -0.16x + (3 * 0.33 + x * 0.33) = x + 19
2.88 + -0.16x + (0.99 + 0.33x) = x + 19

Reorder the terms:
2.88 + 0.99 + -0.16x + 0.33x = x + 19

Combine like terms: 2.88 + 0.99 = 3.87
3.87 + -0.16x + 0.33x = x + 19

Combine like terms: -0.16x + 0.33x = 0.17x
3.87 + 0.17x = x + 19

Reorder the terms:
3.87 + 0.17x = 19 + x

Solving
3.87 + 0.17x = 19 + 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.
3.87 + 0.17x + -1x = 19 + x + -1x

Combine like terms: 0.17x + -1x = -0.83x
3.87 + -0.83x = 19 + x + -1x

Combine like terms: x + -1x = 0
3.87 + -0.83x = 19 + 0
3.87 + -0.83x = 19

Add '-3.87' to each side of the equation.
3.87 + -3.87 + -0.83x = 19 + -3.87

Combine like terms: 3.87 + -3.87 = 0.00
0.00 + -0.83x = 19 + -3.87
-0.83x = 19 + -3.87

Combine like terms: 19 + -3.87 = 15.13
-0.83x = 15.13

Divide each side by '-0.83'.
x = -18.22891566

Simplifying
x = -18.22891566

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