3x+8y+25=5x+10y+16

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Solution for 3x+8y+25=5x+10y+16 equation:


Simplifying
3x + 8y + 25 = 5x + 10y + 16

Reorder the terms:
25 + 3x + 8y = 5x + 10y + 16

Reorder the terms:
25 + 3x + 8y = 16 + 5x + 10y

Solving
25 + 3x + 8y = 16 + 5x + 10y

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
25 + 3x + -5x + 8y = 16 + 5x + -5x + 10y

Combine like terms: 3x + -5x = -2x
25 + -2x + 8y = 16 + 5x + -5x + 10y

Combine like terms: 5x + -5x = 0
25 + -2x + 8y = 16 + 0 + 10y
25 + -2x + 8y = 16 + 10y

Add '-25' to each side of the equation.
25 + -2x + -25 + 8y = 16 + -25 + 10y

Reorder the terms:
25 + -25 + -2x + 8y = 16 + -25 + 10y

Combine like terms: 25 + -25 = 0
0 + -2x + 8y = 16 + -25 + 10y
-2x + 8y = 16 + -25 + 10y

Combine like terms: 16 + -25 = -9
-2x + 8y = -9 + 10y

Add '-8y' to each side of the equation.
-2x + 8y + -8y = -9 + 10y + -8y

Combine like terms: 8y + -8y = 0
-2x + 0 = -9 + 10y + -8y
-2x = -9 + 10y + -8y

Combine like terms: 10y + -8y = 2y
-2x = -9 + 2y

Divide each side by '-2'.
x = 4.5 + -1y

Simplifying
x = 4.5 + -1y

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