11.8224-3.7x=-0.27+1.2(3.8x-1.9)

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Solution for 11.8224-3.7x=-0.27+1.2(3.8x-1.9) equation: 


Simplifying
11.8224 + -3.7x = -0.27 + 1.2(3.8x + -1.9)

Reorder the terms:
11.8224 + -3.7x = -0.27 + 1.2(-1.9 + 3.8x)
11.8224 + -3.7x = -0.27 + (-1.9 * 1.2 + 3.8x * 1.2)
11.8224 + -3.7x = -0.27 + (-2.28 + 4.56x)

Combine like terms: -0.27 + -2.28 = -2.55
11.8224 + -3.7x = -2.55 + 4.56x

Solving
11.8224 + -3.7x = -2.55 + 4.56x

Solving for variable 'x'.

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

Add '-4.56x' to each side of the equation.
11.8224 + -3.7x + -4.56x = -2.55 + 4.56x + -4.56x

Combine like terms: -3.7x + -4.56x = -8.26x
11.8224 + -8.26x = -2.55 + 4.56x + -4.56x

Combine like terms: 4.56x + -4.56x = 0.00
11.8224 + -8.26x = -2.55 + 0.00
11.8224 + -8.26x = -2.55

Add '-11.8224' to each side of the equation.
11.8224 + -11.8224 + -8.26x = -2.55 + -11.8224

Combine like terms: 11.8224 + -11.8224 = 0.0000
0.0000 + -8.26x = -2.55 + -11.8224
-8.26x = -2.55 + -11.8224

Combine like terms: -2.55 + -11.8224 = -14.3724
-8.26x = -14.3724

Divide each side by '-8.26'.
x = 1.74

Simplifying
x = 1.74

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