4(2.55-x)-5.8x=12.2-(8+11.4x)

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Solution for 4(2.55-x)-5.8x=12.2-(8+11.4x) equation: 


Simplifying
4(2.55 + -1x) + -5.8x = 12.2 + -1(8 + 11.4x)
(2.55 * 4 + -1x * 4) + -5.8x = 12.2 + -1(8 + 11.4x)
(10.2 + -4x) + -5.8x = 12.2 + -1(8 + 11.4x)

Combine like terms: -4x + -5.8x = -9.8x
10.2 + -9.8x = 12.2 + -1(8 + 11.4x)
10.2 + -9.8x = 12.2 + (8 * -1 + 11.4x * -1)
10.2 + -9.8x = 12.2 + (-8 + -11.4x)

Combine like terms: 12.2 + -8 = 4.2
10.2 + -9.8x = 4.2 + -11.4x

Solving
10.2 + -9.8x = 4.2 + -11.4x

Solving for variable 'x'.

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

Add '11.4x' to each side of the equation.
10.2 + -9.8x + 11.4x = 4.2 + -11.4x + 11.4x

Combine like terms: -9.8x + 11.4x = 1.6x
10.2 + 1.6x = 4.2 + -11.4x + 11.4x

Combine like terms: -11.4x + 11.4x = 0.0
10.2 + 1.6x = 4.2 + 0.0
10.2 + 1.6x = 4.2

Add '-10.2' to each side of the equation.
10.2 + -10.2 + 1.6x = 4.2 + -10.2

Combine like terms: 10.2 + -10.2 = 0.0
0.0 + 1.6x = 4.2 + -10.2
1.6x = 4.2 + -10.2

Combine like terms: 4.2 + -10.2 = -6
1.6x = -6

Divide each side by '1.6'.
x = -3.75

Simplifying
x = -3.75

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