.2x+.5(200)=3(x+200)

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Solution for .2x+.5(200)=3(x+200) equation:


Simplifying
0.2x + 0.5(200) = 3(x + 200)

Multiply 0.5 * 200
0.2x + 100 = 3(x + 200)

Reorder the terms:
100 + 0.2x = 3(x + 200)

Reorder the terms:
100 + 0.2x = 3(200 + x)
100 + 0.2x = (200 * 3 + x * 3)
100 + 0.2x = (600 + 3x)

Solving
100 + 0.2x = 600 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
100 + 0.2x + -3x = 600 + 3x + -3x

Combine like terms: 0.2x + -3x = -2.8x
100 + -2.8x = 600 + 3x + -3x

Combine like terms: 3x + -3x = 0
100 + -2.8x = 600 + 0
100 + -2.8x = 600

Add '-100' to each side of the equation.
100 + -100 + -2.8x = 600 + -100

Combine like terms: 100 + -100 = 0
0 + -2.8x = 600 + -100
-2.8x = 600 + -100

Combine like terms: 600 + -100 = 500
-2.8x = 500

Divide each side by '-2.8'.
x = -178.5714286

Simplifying
x = -178.5714286

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