.6*600+.2x=.3(600+x)

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Solution for .6*600+.2x=.3(600+x) equation:


Simplifying
0.6 * 600 + 0.2x = 0.3(600 + x)

Multiply 0.6 * 600
360 + 0.2x = 0.3(600 + x)
360 + 0.2x = (600 * 0.3 + x * 0.3)
360 + 0.2x = (180 + 0.3x)

Solving
360 + 0.2x = 180 + 0.3x

Solving for variable 'x'.

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

Add '-0.3x' to each side of the equation.
360 + 0.2x + -0.3x = 180 + 0.3x + -0.3x

Combine like terms: 0.2x + -0.3x = -0.1x
360 + -0.1x = 180 + 0.3x + -0.3x

Combine like terms: 0.3x + -0.3x = 0.0
360 + -0.1x = 180 + 0.0
360 + -0.1x = 180

Add '-360' to each side of the equation.
360 + -360 + -0.1x = 180 + -360

Combine like terms: 360 + -360 = 0
0 + -0.1x = 180 + -360
-0.1x = 180 + -360

Combine like terms: 180 + -360 = -180
-0.1x = -180

Divide each side by '-0.1'.
x = 1800

Simplifying
x = 1800

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