.4x+.25(92-x)=29

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Solution for .4x+.25(92-x)=29 equation:


Simplifying
0.4x + 0.25(92 + -1x) = 29
0.4x + (92 * 0.25 + -1x * 0.25) = 29
0.4x + (23 + -0.25x) = 29

Reorder the terms:
23 + 0.4x + -0.25x = 29

Combine like terms: 0.4x + -0.25x = 0.15x
23 + 0.15x = 29

Solving
23 + 0.15x = 29

Solving for variable 'x'.

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

Add '-23' to each side of the equation.
23 + -23 + 0.15x = 29 + -23

Combine like terms: 23 + -23 = 0
0 + 0.15x = 29 + -23
0.15x = 29 + -23

Combine like terms: 29 + -23 = 6
0.15x = 6

Divide each side by '0.15'.
x = 40

Simplifying
x = 40

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