3(2.125+.375y)+14(-5.67+2.67x)=203

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Solution for 3(2.125+.375y)+14(-5.67+2.67x)=203 equation:


Simplifying
3(2.125 + 0.375y) + 14(-5.67 + 2.67x) = 203
(2.125 * 3 + 0.375y * 3) + 14(-5.67 + 2.67x) = 203
(6.375 + 1.125y) + 14(-5.67 + 2.67x) = 203
6.375 + 1.125y + (-5.67 * 14 + 2.67x * 14) = 203
6.375 + 1.125y + (-79.38 + 37.38x) = 203

Reorder the terms:
6.375 + -79.38 + 37.38x + 1.125y = 203

Combine like terms: 6.375 + -79.38 = -73.005
-73.005 + 37.38x + 1.125y = 203

Solving
-73.005 + 37.38x + 1.125y = 203

Solving for variable 'x'.

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

Add '73.005' to each side of the equation.
-73.005 + 37.38x + 73.005 + 1.125y = 203 + 73.005

Reorder the terms:
-73.005 + 73.005 + 37.38x + 1.125y = 203 + 73.005

Combine like terms: -73.005 + 73.005 = 0.000
0.000 + 37.38x + 1.125y = 203 + 73.005
37.38x + 1.125y = 203 + 73.005

Combine like terms: 203 + 73.005 = 276.005
37.38x + 1.125y = 276.005

Add '-1.125y' to each side of the equation.
37.38x + 1.125y + -1.125y = 276.005 + -1.125y

Combine like terms: 1.125y + -1.125y = 0.000
37.38x + 0.000 = 276.005 + -1.125y
37.38x = 276.005 + -1.125y

Divide each side by '37.38'.
x = 7.38376137 + -0.03009630819y

Simplifying
x = 7.38376137 + -0.03009630819y

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