3(x-7)=2y+5x+8

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Solution for 3(x-7)=2y+5x+8 equation:


Simplifying
3(x + -7) = 2y + 5x + 8

Reorder the terms:
3(-7 + x) = 2y + 5x + 8
(-7 * 3 + x * 3) = 2y + 5x + 8
(-21 + 3x) = 2y + 5x + 8

Reorder the terms:
-21 + 3x = 8 + 5x + 2y

Solving
-21 + 3x = 8 + 5x + 2y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-21 + 3x + -5x = 8 + 5x + -5x + 2y

Combine like terms: 3x + -5x = -2x
-21 + -2x = 8 + 5x + -5x + 2y

Combine like terms: 5x + -5x = 0
-21 + -2x = 8 + 0 + 2y
-21 + -2x = 8 + 2y

Add '21' to each side of the equation.
-21 + 21 + -2x = 8 + 21 + 2y

Combine like terms: -21 + 21 = 0
0 + -2x = 8 + 21 + 2y
-2x = 8 + 21 + 2y

Combine like terms: 8 + 21 = 29
-2x = 29 + 2y

Divide each side by '-2'.
x = -14.5 + -1y

Simplifying
x = -14.5 + -1y

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