3(y-x)=10-4x

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Solution for 3(y-x)=10-4x equation:


Simplifying
3(y + -1x) = 10 + -4x

Reorder the terms:
3(-1x + y) = 10 + -4x
(-1x * 3 + y * 3) = 10 + -4x
(-3x + 3y) = 10 + -4x

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

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

Combine like terms: -4x + 4x = 0
1x + 3y = 10 + 0
1x + 3y = 10

Add '-3y' to each side of the equation.
1x + 3y + -3y = 10 + -3y

Combine like terms: 3y + -3y = 0
1x + 0 = 10 + -3y
1x = 10 + -3y

Divide each side by '1'.
x = 10 + -3y

Simplifying
x = 10 + -3y

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