3x+7-10y=-4x+11-5y

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Solution for 3x+7-10y=-4x+11-5y equation:


Simplifying
3x + 7 + -10y = -4x + 11 + -5y

Reorder the terms:
7 + 3x + -10y = -4x + 11 + -5y

Reorder the terms:
7 + 3x + -10y = 11 + -4x + -5y

Solving
7 + 3x + -10y = 11 + -4x + -5y

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
7 + 3x + 4x + -10y = 11 + -4x + 4x + -5y

Combine like terms: 3x + 4x = 7x
7 + 7x + -10y = 11 + -4x + 4x + -5y

Combine like terms: -4x + 4x = 0
7 + 7x + -10y = 11 + 0 + -5y
7 + 7x + -10y = 11 + -5y

Add '-7' to each side of the equation.
7 + 7x + -7 + -10y = 11 + -7 + -5y

Reorder the terms:
7 + -7 + 7x + -10y = 11 + -7 + -5y

Combine like terms: 7 + -7 = 0
0 + 7x + -10y = 11 + -7 + -5y
7x + -10y = 11 + -7 + -5y

Combine like terms: 11 + -7 = 4
7x + -10y = 4 + -5y

Add '10y' to each side of the equation.
7x + -10y + 10y = 4 + -5y + 10y

Combine like terms: -10y + 10y = 0
7x + 0 = 4 + -5y + 10y
7x = 4 + -5y + 10y

Combine like terms: -5y + 10y = 5y
7x = 4 + 5y

Divide each side by '7'.
x = 0.5714285714 + 0.7142857143y

Simplifying
x = 0.5714285714 + 0.7142857143y

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