0.4[8+x]=0.5[8-x]

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Solution for 0.4[8+x]=0.5[8-x] equation:


Simplifying
0.4[8 + x] = 0.5[8 + -1x]
[8 * 0.4 + x * 0.4] = 0.5[8 + -1x]
[3.2 + 0.4x] = 0.5[8 + -1x]
3.2 + 0.4x = [8 * 0.5 + -1x * 0.5]
3.2 + 0.4x = [4 + -0.5x]

Solving
3.2 + 0.4x = 4 + -0.5x

Solving for variable 'x'.

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

Add '0.5x' to each side of the equation.
3.2 + 0.4x + 0.5x = 4 + -0.5x + 0.5x

Combine like terms: 0.4x + 0.5x = 0.9x
3.2 + 0.9x = 4 + -0.5x + 0.5x

Combine like terms: -0.5x + 0.5x = 0.0
3.2 + 0.9x = 4 + 0.0
3.2 + 0.9x = 4

Add '-3.2' to each side of the equation.
3.2 + -3.2 + 0.9x = 4 + -3.2

Combine like terms: 3.2 + -3.2 = 0.0
0.0 + 0.9x = 4 + -3.2
0.9x = 4 + -3.2

Combine like terms: 4 + -3.2 = 0.8
0.9x = 0.8

Divide each side by '0.9'.
x = 0.8888888889

Simplifying
x = 0.8888888889

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