.4x+.25(122-x)=36

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Solution for .4x+.25(122-x)=36 equation:


Simplifying
0.4x + 0.25(122 + -1x) = 36
0.4x + (122 * 0.25 + -1x * 0.25) = 36
0.4x + (30.5 + -0.25x) = 36

Reorder the terms:
30.5 + 0.4x + -0.25x = 36

Combine like terms: 0.4x + -0.25x = 0.15x
30.5 + 0.15x = 36

Solving
30.5 + 0.15x = 36

Solving for variable 'x'.

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

Add '-30.5' to each side of the equation.
30.5 + -30.5 + 0.15x = 36 + -30.5

Combine like terms: 30.5 + -30.5 = 0.0
0.0 + 0.15x = 36 + -30.5
0.15x = 36 + -30.5

Combine like terms: 36 + -30.5 = 5.5
0.15x = 5.5

Divide each side by '0.15'.
x = 36.66666667

Simplifying
x = 36.66666667

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