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

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


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

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

Reorder the terms:
-6 + 3x = 4(-5 + y)
-6 + 3x = (-5 * 4 + y * 4)
-6 + 3x = (-20 + 4y)

Solving
-6 + 3x = -20 + 4y

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 + 6 + 3x = -20 + 6 + 4y

Combine like terms: -6 + 6 = 0
0 + 3x = -20 + 6 + 4y
3x = -20 + 6 + 4y

Combine like terms: -20 + 6 = -14
3x = -14 + 4y

Divide each side by '3'.
x = -4.666666667 + 1.333333333y

Simplifying
x = -4.666666667 + 1.333333333y

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