(65-x)*24+(65-y)*23=1529

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Solution for (65-x)*24+(65-y)*23=1529 equation:


Simplifying
(65 + -1x) * 24 + (65 + -1y) * 23 = 1529

Reorder the terms for easier multiplication:
24(65 + -1x) + (65 + -1y) * 23 = 1529
(65 * 24 + -1x * 24) + (65 + -1y) * 23 = 1529
(1560 + -24x) + (65 + -1y) * 23 = 1529

Reorder the terms for easier multiplication:
1560 + -24x + 23(65 + -1y) = 1529
1560 + -24x + (65 * 23 + -1y * 23) = 1529
1560 + -24x + (1495 + -23y) = 1529

Reorder the terms:
1560 + 1495 + -24x + -23y = 1529

Combine like terms: 1560 + 1495 = 3055
3055 + -24x + -23y = 1529

Solving
3055 + -24x + -23y = 1529

Solving for variable 'x'.

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

Add '-3055' to each side of the equation.
3055 + -24x + -3055 + -23y = 1529 + -3055

Reorder the terms:
3055 + -3055 + -24x + -23y = 1529 + -3055

Combine like terms: 3055 + -3055 = 0
0 + -24x + -23y = 1529 + -3055
-24x + -23y = 1529 + -3055

Combine like terms: 1529 + -3055 = -1526
-24x + -23y = -1526

Add '23y' to each side of the equation.
-24x + -23y + 23y = -1526 + 23y

Combine like terms: -23y + 23y = 0
-24x + 0 = -1526 + 23y
-24x = -1526 + 23y

Divide each side by '-24'.
x = 63.58333333 + -0.9583333333y

Simplifying
x = 63.58333333 + -0.9583333333y

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