0.2+13+x=0.1(x+40)+4

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Solution for 0.2+13+x=0.1(x+40)+4 equation: 


Simplifying
0.2 + 13 + x = 0.1(x + 40) + 4

Combine like terms: 0.2 + 13 = 13.2
13.2 + x = 0.1(x + 40) + 4

Reorder the terms:
13.2 + x = 0.1(40 + x) + 4
13.2 + x = (40 * 0.1 + x * 0.1) + 4
13.2 + x = (4 + 0.1x) + 4

Reorder the terms:
13.2 + x = 4 + 4 + 0.1x

Combine like terms: 4 + 4 = 8
13.2 + x = 8 + 0.1x

Solving
13.2 + x = 8 + 0.1x

Solving for variable 'x'.

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

Add '-0.1x' to each side of the equation.
13.2 + x + -0.1x = 8 + 0.1x + -0.1x

Combine like terms: x + -0.1x = 0.9x
13.2 + 0.9x = 8 + 0.1x + -0.1x

Combine like terms: 0.1x + -0.1x = 0.0
13.2 + 0.9x = 8 + 0.0
13.2 + 0.9x = 8

Add '-13.2' to each side of the equation.
13.2 + -13.2 + 0.9x = 8 + -13.2

Combine like terms: 13.2 + -13.2 = 0.0
0.0 + 0.9x = 8 + -13.2
0.9x = 8 + -13.2

Combine like terms: 8 + -13.2 = -5.2
0.9x = -5.2

Divide each side by '0.9'.
x = -5.777777778

Simplifying
x = -5.777777778

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