3y+x-2=6x+10y-4

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Solution for 3y+x-2=6x+10y-4 equation:


Simplifying
3y + x + -2 = 6x + 10y + -4

Reorder the terms:
-2 + x + 3y = 6x + 10y + -4

Reorder the terms:
-2 + x + 3y = -4 + 6x + 10y

Solving
-2 + x + 3y = -4 + 6x + 10y

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + x + -6x + 3y = -4 + 6x + -6x + 10y

Combine like terms: x + -6x = -5x
-2 + -5x + 3y = -4 + 6x + -6x + 10y

Combine like terms: 6x + -6x = 0
-2 + -5x + 3y = -4 + 0 + 10y
-2 + -5x + 3y = -4 + 10y

Add '2' to each side of the equation.
-2 + -5x + 2 + 3y = -4 + 2 + 10y

Reorder the terms:
-2 + 2 + -5x + 3y = -4 + 2 + 10y

Combine like terms: -2 + 2 = 0
0 + -5x + 3y = -4 + 2 + 10y
-5x + 3y = -4 + 2 + 10y

Combine like terms: -4 + 2 = -2
-5x + 3y = -2 + 10y

Add '-3y' to each side of the equation.
-5x + 3y + -3y = -2 + 10y + -3y

Combine like terms: 3y + -3y = 0
-5x + 0 = -2 + 10y + -3y
-5x = -2 + 10y + -3y

Combine like terms: 10y + -3y = 7y
-5x = -2 + 7y

Divide each side by '-5'.
x = 0.4 + -1.4y

Simplifying
x = 0.4 + -1.4y

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