0.10(3)+x=0.40(3+x)

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Solution for 0.10(3)+x=0.40(3+x) equation: 


Simplifying
0.10(3) + x = 0.40(3 + x)

Multiply 0.10 * 3
0.3 + x = 0.40(3 + x)
0.3 + x = (3 * 0.40 + x * 0.40)
0.3 + x = (1.2 + 0.40x)

Solving
0.3 + x = 1.2 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
0.3 + x + -0.40x = 1.2 + 0.40x + -0.40x

Combine like terms: x + -0.40x = 0.6x
0.3 + 0.6x = 1.2 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
0.3 + 0.6x = 1.2 + 0.00
0.3 + 0.6x = 1.2

Add '-0.3' to each side of the equation.
0.3 + -0.3 + 0.6x = 1.2 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.6x = 1.2 + -0.3
0.6x = 1.2 + -0.3

Combine like terms: 1.2 + -0.3 = 0.9
0.6x = 0.9

Divide each side by '0.6'.
x = 1.5

Simplifying
x = 1.5

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