10x+3y=2x+5

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Solution for 10x+3y=2x+5 equation:


Simplifying
10x + 3y = 2x + 5

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

Solving
10x + 3y = 5 + 2x

Solving for variable 'x'.

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

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

Combine like terms: 10x + -2x = 8x
8x + 3y = 5 + 2x + -2x

Combine like terms: 2x + -2x = 0
8x + 3y = 5 + 0
8x + 3y = 5

Add '-3y' to each side of the equation.
8x + 3y + -3y = 5 + -3y

Combine like terms: 3y + -3y = 0
8x + 0 = 5 + -3y
8x = 5 + -3y

Divide each side by '8'.
x = 0.625 + -0.375y

Simplifying
x = 0.625 + -0.375y

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