0.40x+0.90(400)=0.50(400+x)

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Solution for 0.40x+0.90(400)=0.50(400+x) equation: 


Simplifying
0.40x + 0.90(400) = 0.50(400 + x)

Multiply 0.90 * 400
0.40x + 360 = 0.50(400 + x)

Reorder the terms:
360 + 0.40x = 0.50(400 + x)
360 + 0.40x = (400 * 0.50 + x * 0.50)
360 + 0.40x = (200 + 0.50x)

Solving
360 + 0.40x = 200 + 0.50x

Solving for variable 'x'.

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

Add '-0.50x' to each side of the equation.
360 + 0.40x + -0.50x = 200 + 0.50x + -0.50x

Combine like terms: 0.40x + -0.50x = -0.1x
360 + -0.1x = 200 + 0.50x + -0.50x

Combine like terms: 0.50x + -0.50x = 0.00
360 + -0.1x = 200 + 0.00
360 + -0.1x = 200

Add '-360' to each side of the equation.
360 + -360 + -0.1x = 200 + -360

Combine like terms: 360 + -360 = 0
0 + -0.1x = 200 + -360
-0.1x = 200 + -360

Combine like terms: 200 + -360 = -160
-0.1x = -160

Divide each side by '-0.1'.
x = 1600

Simplifying
x = 1600

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