4x-8+3x+10=11x+2y

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Solution for 4x-8+3x+10=11x+2y equation:


Simplifying
4x + -8 + 3x + 10 = 11x + 2y

Reorder the terms:
-8 + 10 + 4x + 3x = 11x + 2y

Combine like terms: -8 + 10 = 2
2 + 4x + 3x = 11x + 2y

Combine like terms: 4x + 3x = 7x
2 + 7x = 11x + 2y

Solving
2 + 7x = 11x + 2y

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-4'.
x = 0.5 + -0.5y

Simplifying
x = 0.5 + -0.5y

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