2+0.1(4-x)=1.4-(0.6x-2.4)

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Solution for 2+0.1(4-x)=1.4-(0.6x-2.4) equation: 


Simplifying
2 + 0.1(4 + -1x) = 1.4 + -1(0.6x + -2.4)
2 + (4 * 0.1 + -1x * 0.1) = 1.4 + -1(0.6x + -2.4)
2 + (0.4 + -0.1x) = 1.4 + -1(0.6x + -2.4)

Combine like terms: 2 + 0.4 = 2.4
2.4 + -0.1x = 1.4 + -1(0.6x + -2.4)

Reorder the terms:
2.4 + -0.1x = 1.4 + -1(-2.4 + 0.6x)
2.4 + -0.1x = 1.4 + (-2.4 * -1 + 0.6x * -1)
2.4 + -0.1x = 1.4 + (2.4 + -0.6x)

Combine like terms: 1.4 + 2.4 = 3.8
2.4 + -0.1x = 3.8 + -0.6x

Solving
2.4 + -0.1x = 3.8 + -0.6x

Solving for variable 'x'.

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

Add '0.6x' to each side of the equation.
2.4 + -0.1x + 0.6x = 3.8 + -0.6x + 0.6x

Combine like terms: -0.1x + 0.6x = 0.5x
2.4 + 0.5x = 3.8 + -0.6x + 0.6x

Combine like terms: -0.6x + 0.6x = 0.0
2.4 + 0.5x = 3.8 + 0.0
2.4 + 0.5x = 3.8

Add '-2.4' to each side of the equation.
2.4 + -2.4 + 0.5x = 3.8 + -2.4

Combine like terms: 2.4 + -2.4 = 0.0
0.0 + 0.5x = 3.8 + -2.4
0.5x = 3.8 + -2.4

Combine like terms: 3.8 + -2.4 = 1.4
0.5x = 1.4

Divide each side by '0.5'.
x = 2.8

Simplifying
x = 2.8

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