0.4(160)+0.25x=0.5(160+x)

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Solution for 0.4(160)+0.25x=0.5(160+x) equation: 


Simplifying
0.4(160) + 0.25x = 0.5(160 + x)

Multiply 0.4 * 160
64 + 0.25x = 0.5(160 + x)
64 + 0.25x = (160 * 0.5 + x * 0.5)
64 + 0.25x = (80 + 0.5x)

Solving
64 + 0.25x = 80 + 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.
64 + 0.25x + -0.5x = 80 + 0.5x + -0.5x

Combine like terms: 0.25x + -0.5x = -0.25x
64 + -0.25x = 80 + 0.5x + -0.5x

Combine like terms: 0.5x + -0.5x = 0.0
64 + -0.25x = 80 + 0.0
64 + -0.25x = 80

Add '-64' to each side of the equation.
64 + -64 + -0.25x = 80 + -64

Combine like terms: 64 + -64 = 0
0 + -0.25x = 80 + -64
-0.25x = 80 + -64

Combine like terms: 80 + -64 = 16
-0.25x = 16

Divide each side by '-0.25'.
x = -64

Simplifying
x = -64

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