2+0.1(5-x)=1.3-(0.4x-2.5)

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Solution for 2+0.1(5-x)=1.3-(0.4x-2.5) equation: 


Simplifying
2 + 0.1(5 + -1x) = 1.3 + -1(0.4x + -2.5)
2 + (5 * 0.1 + -1x * 0.1) = 1.3 + -1(0.4x + -2.5)
2 + (0.5 + -0.1x) = 1.3 + -1(0.4x + -2.5)

Combine like terms: 2 + 0.5 = 2.5
2.5 + -0.1x = 1.3 + -1(0.4x + -2.5)

Reorder the terms:
2.5 + -0.1x = 1.3 + -1(-2.5 + 0.4x)
2.5 + -0.1x = 1.3 + (-2.5 * -1 + 0.4x * -1)
2.5 + -0.1x = 1.3 + (2.5 + -0.4x)

Combine like terms: 1.3 + 2.5 = 3.8
2.5 + -0.1x = 3.8 + -0.4x

Solving
2.5 + -0.1x = 3.8 + -0.4x

Solving for variable 'x'.

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

Add '0.4x' to each side of the equation.
2.5 + -0.1x + 0.4x = 3.8 + -0.4x + 0.4x

Combine like terms: -0.1x + 0.4x = 0.3x
2.5 + 0.3x = 3.8 + -0.4x + 0.4x

Combine like terms: -0.4x + 0.4x = 0.0
2.5 + 0.3x = 3.8 + 0.0
2.5 + 0.3x = 3.8

Add '-2.5' to each side of the equation.
2.5 + -2.5 + 0.3x = 3.8 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 0.3x = 3.8 + -2.5
0.3x = 3.8 + -2.5

Combine like terms: 3.8 + -2.5 = 1.3
0.3x = 1.3

Divide each side by '0.3'.
x = 4.333333333

Simplifying
x = 4.333333333

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