2(x+y)+.05=x(.01)+y(100)

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Solution for 2(x+y)+.05=x(.01)+y(100) equation:


Simplifying
2(x + y) + 0.05 = x(0.01) + y(100)
(x * 2 + y * 2) + 0.05 = x(0.01) + y(100)
(2x + 2y) + 0.05 = x(0.01) + y(100)

Reorder the terms:
0.05 + 2x + 2y = x(0.01) + y(100)

Reorder the terms for easier multiplication:
0.05 + 2x + 2y = 0.01x + y(100)

Reorder the terms for easier multiplication:
0.05 + 2x + 2y = 0.01x + 100y

Solving
0.05 + 2x + 2y = 0.01x + 100y

Solving for variable 'x'.

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

Add '-0.01x' to each side of the equation.
0.05 + 2x + -0.01x + 2y = 0.01x + -0.01x + 100y

Combine like terms: 2x + -0.01x = 1.99x
0.05 + 1.99x + 2y = 0.01x + -0.01x + 100y

Combine like terms: 0.01x + -0.01x = 0.00
0.05 + 1.99x + 2y = 0.00 + 100y
0.05 + 1.99x + 2y = 100y

Add '-0.05' to each side of the equation.
0.05 + 1.99x + -0.05 + 2y = -0.05 + 100y

Reorder the terms:
0.05 + -0.05 + 1.99x + 2y = -0.05 + 100y

Combine like terms: 0.05 + -0.05 = 0.00
0.00 + 1.99x + 2y = -0.05 + 100y
1.99x + 2y = -0.05 + 100y

Add '-2y' to each side of the equation.
1.99x + 2y + -2y = -0.05 + 100y + -2y

Combine like terms: 2y + -2y = 0
1.99x + 0 = -0.05 + 100y + -2y
1.99x = -0.05 + 100y + -2y

Combine like terms: 100y + -2y = 98y
1.99x = -0.05 + 98y

Divide each side by '1.99'.
x = -0.02512562814 + 49.24623116y

Simplifying
x = -0.02512562814 + 49.24623116y

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