.4(0.28x+0.56)=1.61-2.77x

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Solution for .4(0.28x+0.56)=1.61-2.77x equation: 


Simplifying
0.4(0.28x + 0.56) = 1.61 + -2.77x

Reorder the terms:
0.4(0.56 + 0.28x) = 1.61 + -2.77x
(0.56 * 0.4 + 0.28x * 0.4) = 1.61 + -2.77x
(0.224 + 0.112x) = 1.61 + -2.77x

Solving
0.224 + 0.112x = 1.61 + -2.77x

Solving for variable 'x'.

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

Add '2.77x' to each side of the equation.
0.224 + 0.112x + 2.77x = 1.61 + -2.77x + 2.77x

Combine like terms: 0.112x + 2.77x = 2.882x
0.224 + 2.882x = 1.61 + -2.77x + 2.77x

Combine like terms: -2.77x + 2.77x = 0.00
0.224 + 2.882x = 1.61 + 0.00
0.224 + 2.882x = 1.61

Add '-0.224' to each side of the equation.
0.224 + -0.224 + 2.882x = 1.61 + -0.224

Combine like terms: 0.224 + -0.224 = 0.000
0.000 + 2.882x = 1.61 + -0.224
2.882x = 1.61 + -0.224

Combine like terms: 1.61 + -0.224 = 1.386
2.882x = 1.386

Divide each side by '2.882'.
x = 0.4809160305

Simplifying
x = 0.4809160305

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