3(2x+5y)-8y+19=8x+11-4y

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Solution for 3(2x+5y)-8y+19=8x+11-4y equation:


Simplifying
3(2x + 5y) + -8y + 19 = 8x + 11 + -4y
(2x * 3 + 5y * 3) + -8y + 19 = 8x + 11 + -4y
(6x + 15y) + -8y + 19 = 8x + 11 + -4y

Reorder the terms:
19 + 6x + 15y + -8y = 8x + 11 + -4y

Combine like terms: 15y + -8y = 7y
19 + 6x + 7y = 8x + 11 + -4y

Reorder the terms:
19 + 6x + 7y = 11 + 8x + -4y

Solving
19 + 6x + 7y = 11 + 8x + -4y

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
19 + 6x + -8x + 7y = 11 + 8x + -8x + -4y

Combine like terms: 6x + -8x = -2x
19 + -2x + 7y = 11 + 8x + -8x + -4y

Combine like terms: 8x + -8x = 0
19 + -2x + 7y = 11 + 0 + -4y
19 + -2x + 7y = 11 + -4y

Add '-19' to each side of the equation.
19 + -2x + -19 + 7y = 11 + -19 + -4y

Reorder the terms:
19 + -19 + -2x + 7y = 11 + -19 + -4y

Combine like terms: 19 + -19 = 0
0 + -2x + 7y = 11 + -19 + -4y
-2x + 7y = 11 + -19 + -4y

Combine like terms: 11 + -19 = -8
-2x + 7y = -8 + -4y

Add '-7y' to each side of the equation.
-2x + 7y + -7y = -8 + -4y + -7y

Combine like terms: 7y + -7y = 0
-2x + 0 = -8 + -4y + -7y
-2x = -8 + -4y + -7y

Combine like terms: -4y + -7y = -11y
-2x = -8 + -11y

Divide each side by '-2'.
x = 4 + 5.5y

Simplifying
x = 4 + 5.5y

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