3x+10y=4x-30

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Solution for 3x+10y=4x-30 equation:


Simplifying
3x + 10y = 4x + -30

Reorder the terms:
3x + 10y = -30 + 4x

Solving
3x + 10y = -30 + 4x

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.
3x + -4x + 10y = -30 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1x + 10y = -30 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1x + 10y = -30 + 0
-1x + 10y = -30

Add '-10y' to each side of the equation.
-1x + 10y + -10y = -30 + -10y

Combine like terms: 10y + -10y = 0
-1x + 0 = -30 + -10y
-1x = -30 + -10y

Divide each side by '-1'.
x = 30 + 10y

Simplifying
x = 30 + 10y

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