12.8x-1.2(6.1-0.3x)=4.9x+18.2

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Solution for 12.8x-1.2(6.1-0.3x)=4.9x+18.2 equation: 


Simplifying
12.8x + -1.2(6.1 + -0.3x) = 4.9x + 18.2
12.8x + (6.1 * -1.2 + -0.3x * -1.2) = 4.9x + 18.2
12.8x + (-7.32 + 0.36x) = 4.9x + 18.2

Reorder the terms:
-7.32 + 12.8x + 0.36x = 4.9x + 18.2

Combine like terms: 12.8x + 0.36x = 13.16x
-7.32 + 13.16x = 4.9x + 18.2

Reorder the terms:
-7.32 + 13.16x = 18.2 + 4.9x

Solving
-7.32 + 13.16x = 18.2 + 4.9x

Solving for variable 'x'.

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

Add '-4.9x' to each side of the equation.
-7.32 + 13.16x + -4.9x = 18.2 + 4.9x + -4.9x

Combine like terms: 13.16x + -4.9x = 8.26x
-7.32 + 8.26x = 18.2 + 4.9x + -4.9x

Combine like terms: 4.9x + -4.9x = 0.0
-7.32 + 8.26x = 18.2 + 0.0
-7.32 + 8.26x = 18.2

Add '7.32' to each side of the equation.
-7.32 + 7.32 + 8.26x = 18.2 + 7.32

Combine like terms: -7.32 + 7.32 = 0.00
0.00 + 8.26x = 18.2 + 7.32
8.26x = 18.2 + 7.32

Combine like terms: 18.2 + 7.32 = 25.52
8.26x = 25.52

Divide each side by '8.26'.
x = 3.089588378

Simplifying
x = 3.089588378

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