0.40(1+x)=0.05(x+3)

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Solution for 0.40(1+x)=0.05(x+3) equation: 


Simplifying
0.40(1 + x) = 0.05(x + 3)
(1 * 0.40 + x * 0.40) = 0.05(x + 3)
(0.4 + 0.40x) = 0.05(x + 3)

Reorder the terms:
0.4 + 0.40x = 0.05(3 + x)
0.4 + 0.40x = (3 * 0.05 + x * 0.05)
0.4 + 0.40x = (0.15 + 0.05x)

Solving
0.4 + 0.40x = 0.15 + 0.05x

Solving for variable 'x'.

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

Add '-0.05x' to each side of the equation.
0.4 + 0.40x + -0.05x = 0.15 + 0.05x + -0.05x

Combine like terms: 0.40x + -0.05x = 0.35x
0.4 + 0.35x = 0.15 + 0.05x + -0.05x

Combine like terms: 0.05x + -0.05x = 0.00
0.4 + 0.35x = 0.15 + 0.00
0.4 + 0.35x = 0.15

Add '-0.4' to each side of the equation.
0.4 + -0.4 + 0.35x = 0.15 + -0.4

Combine like terms: 0.4 + -0.4 = 0.0
0.0 + 0.35x = 0.15 + -0.4
0.35x = 0.15 + -0.4

Combine like terms: 0.15 + -0.4 = -0.25
0.35x = -0.25

Divide each side by '0.35'.
x = -0.7142857143

Simplifying
x = -0.7142857143

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