x+.55(200)=.40(x+200)

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Solution for x+.55(200)=.40(x+200) equation:


Simplifying
x + 0.55(200) = 0.40(x + 200)

Multiply 0.55 * 200
x + 110 = 0.40(x + 200)

Reorder the terms:
110 + x = 0.40(x + 200)

Reorder the terms:
110 + x = 0.40(200 + x)
110 + x = (200 * 0.40 + x * 0.40)
110 + x = (80 + 0.40x)

Solving
110 + x = 80 + 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.
110 + x + -0.40x = 80 + 0.40x + -0.40x

Combine like terms: x + -0.40x = 0.6x
110 + 0.6x = 80 + 0.40x + -0.40x

Combine like terms: 0.40x + -0.40x = 0.00
110 + 0.6x = 80 + 0.00
110 + 0.6x = 80

Add '-110' to each side of the equation.
110 + -110 + 0.6x = 80 + -110

Combine like terms: 110 + -110 = 0
0 + 0.6x = 80 + -110
0.6x = 80 + -110

Combine like terms: 80 + -110 = -30
0.6x = -30

Divide each side by '0.6'.
x = -50

Simplifying
x = -50

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