-0.16(x-18)+3(x+3)=x-6

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Solution for -0.16(x-18)+3(x+3)=x-6 equation:


Simplifying
-0.16(x + -18) + 3(x + 3) = x + -6

Reorder the terms:
-0.16(-18 + x) + 3(x + 3) = x + -6
(-18 * -0.16 + x * -0.16) + 3(x + 3) = x + -6
(2.88 + -0.16x) + 3(x + 3) = x + -6

Reorder the terms:
2.88 + -0.16x + 3(3 + x) = x + -6
2.88 + -0.16x + (3 * 3 + x * 3) = x + -6
2.88 + -0.16x + (9 + 3x) = x + -6

Reorder the terms:
2.88 + 9 + -0.16x + 3x = x + -6

Combine like terms: 2.88 + 9 = 11.88
11.88 + -0.16x + 3x = x + -6

Combine like terms: -0.16x + 3x = 2.84x
11.88 + 2.84x = x + -6

Reorder the terms:
11.88 + 2.84x = -6 + x

Solving
11.88 + 2.84x = -6 + 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.
11.88 + 2.84x + -1x = -6 + x + -1x

Combine like terms: 2.84x + -1x = 1.84x
11.88 + 1.84x = -6 + x + -1x

Combine like terms: x + -1x = 0
11.88 + 1.84x = -6 + 0
11.88 + 1.84x = -6

Add '-11.88' to each side of the equation.
11.88 + -11.88 + 1.84x = -6 + -11.88

Combine like terms: 11.88 + -11.88 = 0.00
0.00 + 1.84x = -6 + -11.88
1.84x = -6 + -11.88

Combine like terms: -6 + -11.88 = -17.88
1.84x = -17.88

Divide each side by '1.84'.
x = -9.717391304

Simplifying
x = -9.717391304

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