2(2x+4y)-326=3(85-x)

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Solution for 2(2x+4y)-326=3(85-x) equation:


Simplifying
2(2x + 4y) + -326 = 3(85 + -1x)
(2x * 2 + 4y * 2) + -326 = 3(85 + -1x)
(4x + 8y) + -326 = 3(85 + -1x)

Reorder the terms:
-326 + 4x + 8y = 3(85 + -1x)
-326 + 4x + 8y = (85 * 3 + -1x * 3)
-326 + 4x + 8y = (255 + -3x)

Solving
-326 + 4x + 8y = 255 + -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.
-326 + 4x + 3x + 8y = 255 + -3x + 3x

Combine like terms: 4x + 3x = 7x
-326 + 7x + 8y = 255 + -3x + 3x

Combine like terms: -3x + 3x = 0
-326 + 7x + 8y = 255 + 0
-326 + 7x + 8y = 255

Add '326' to each side of the equation.
-326 + 7x + 326 + 8y = 255 + 326

Reorder the terms:
-326 + 326 + 7x + 8y = 255 + 326

Combine like terms: -326 + 326 = 0
0 + 7x + 8y = 255 + 326
7x + 8y = 255 + 326

Combine like terms: 255 + 326 = 581
7x + 8y = 581

Add '-8y' to each side of the equation.
7x + 8y + -8y = 581 + -8y

Combine like terms: 8y + -8y = 0
7x + 0 = 581 + -8y
7x = 581 + -8y

Divide each side by '7'.
x = 83 + -1.142857143y

Simplifying
x = 83 + -1.142857143y

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