2(x-3)+5y=2y+4

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Solution for 2(x-3)+5y=2y+4 equation:


Simplifying
2(x + -3) + 5y = 2y + 4

Reorder the terms:
2(-3 + x) + 5y = 2y + 4
(-3 * 2 + x * 2) + 5y = 2y + 4
(-6 + 2x) + 5y = 2y + 4

Reorder the terms:
-6 + 2x + 5y = 4 + 2y

Solving
-6 + 2x + 5y = 4 + 2y

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 2x + 6 + 5y = 4 + 6 + 2y

Reorder the terms:
-6 + 6 + 2x + 5y = 4 + 6 + 2y

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

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

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

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

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

Divide each side by '2'.
x = 5 + -1.5y

Simplifying
x = 5 + -1.5y

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