6y+2x-4-10y+11=x+y-4

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Solution for 6y+2x-4-10y+11=x+y-4 equation:


Simplifying
6y + 2x + -4 + -10y + 11 = x + y + -4

Reorder the terms:
-4 + 11 + 2x + 6y + -10y = x + y + -4

Combine like terms: -4 + 11 = 7
7 + 2x + 6y + -10y = x + y + -4

Combine like terms: 6y + -10y = -4y
7 + 2x + -4y = x + y + -4

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

Solving
7 + 2x + -4y = -4 + x + y

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
7 + 2x + -1x + -4y = -4 + x + -1x + y

Combine like terms: 2x + -1x = 1x
7 + 1x + -4y = -4 + x + -1x + y

Combine like terms: x + -1x = 0
7 + 1x + -4y = -4 + 0 + y
7 + 1x + -4y = -4 + y

Add '-7' to each side of the equation.
7 + 1x + -7 + -4y = -4 + -7 + y

Reorder the terms:
7 + -7 + 1x + -4y = -4 + -7 + y

Combine like terms: 7 + -7 = 0
0 + 1x + -4y = -4 + -7 + y
1x + -4y = -4 + -7 + y

Combine like terms: -4 + -7 = -11
1x + -4y = -11 + y

Add '4y' to each side of the equation.
1x + -4y + 4y = -11 + y + 4y

Combine like terms: -4y + 4y = 0
1x + 0 = -11 + y + 4y
1x = -11 + y + 4y

Combine like terms: y + 4y = 5y
1x = -11 + 5y

Divide each side by '1'.
x = -11 + 5y

Simplifying
x = -11 + 5y

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