.02(2)+x=0.4(2+x)

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Solution for .02(2)+x=0.4(2+x) equation: 


Simplifying
0.02(2) + x = 0.4(2 + x)

Multiply 0.02 * 2
0.04 + x = 0.4(2 + x)
0.04 + x = (2 * 0.4 + x * 0.4)
0.04 + x = (0.8 + 0.4x)

Solving
0.04 + x = 0.8 + 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.
0.04 + x + -0.4x = 0.8 + 0.4x + -0.4x

Combine like terms: x + -0.4x = 0.6x
0.04 + 0.6x = 0.8 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
0.04 + 0.6x = 0.8 + 0.0
0.04 + 0.6x = 0.8

Add '-0.04' to each side of the equation.
0.04 + -0.04 + 0.6x = 0.8 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + 0.6x = 0.8 + -0.04
0.6x = 0.8 + -0.04

Combine like terms: 0.8 + -0.04 = 0.76
0.6x = 0.76

Divide each side by '0.6'.
x = 1.266666667

Simplifying
x = 1.266666667

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