.30x+.60(300)=.40(x+300)

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Solution for .30x+.60(300)=.40(x+300) equation:


Simplifying
0.30x + 0.60(300) = 0.40(x + 300)

Multiply 0.60 * 300
0.30x + 180 = 0.40(x + 300)

Reorder the terms:
180 + 0.30x = 0.40(x + 300)

Reorder the terms:
180 + 0.30x = 0.40(300 + x)
180 + 0.30x = (300 * 0.40 + x * 0.40)
180 + 0.30x = (120 + 0.40x)

Solving
180 + 0.30x = 120 + 0.40x

Solving for variable 'x'.

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

Add '-0.40x' to each side of the equation.
180 + 0.30x + -0.40x = 120 + 0.40x + -0.40x

Combine like terms: 0.30x + -0.40x = -0.1x
180 + -0.1x = 120 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
180 + -0.1x = 120 + 0.00
180 + -0.1x = 120

Add '-180' to each side of the equation.
180 + -180 + -0.1x = 120 + -180

Combine like terms: 180 + -180 = 0
0 + -0.1x = 120 + -180
-0.1x = 120 + -180

Combine like terms: 120 + -180 = -60
-0.1x = -60

Divide each side by '-0.1'.
x = 600

Simplifying
x = 600

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