0.25[40]+0.5x=0.4[40+x]

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Solution for 0.25[40]+0.5x=0.4[40+x] equation: 


Simplifying
0.25[40] + 0.5x = 0.4[40 + x]

Multiply 0.25 * 40
10 + 0.5x = 0.4[40 + x]
10 + 0.5x = [40 * 0.4 + x * 0.4]
10 + 0.5x = [16 + 0.4x]

Solving
10 + 0.5x = 16 + 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.
10 + 0.5x + -0.4x = 16 + 0.4x + -0.4x

Combine like terms: 0.5x + -0.4x = 0.1x
10 + 0.1x = 16 + 0.4x + -0.4x

Combine like terms: 0.4x + -0.4x = 0.0
10 + 0.1x = 16 + 0.0
10 + 0.1x = 16

Add '-10' to each side of the equation.
10 + -10 + 0.1x = 16 + -10

Combine like terms: 10 + -10 = 0
0 + 0.1x = 16 + -10
0.1x = 16 + -10

Combine like terms: 16 + -10 = 6
0.1x = 6

Divide each side by '0.1'.
x = 60

Simplifying
x = 60

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