4(x-5)-6(y-7)=

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Solution for 4(x-5)-6(y-7)= equation:


Simplifying
4(x + -5) + -6(y + -7) = 0

Reorder the terms:
4(-5 + x) + -6(y + -7) = 0
(-5 * 4 + x * 4) + -6(y + -7) = 0
(-20 + 4x) + -6(y + -7) = 0

Reorder the terms:
-20 + 4x + -6(-7 + y) = 0
-20 + 4x + (-7 * -6 + y * -6) = 0
-20 + 4x + (42 + -6y) = 0

Reorder the terms:
-20 + 42 + 4x + -6y = 0

Combine like terms: -20 + 42 = 22
22 + 4x + -6y = 0

Solving
22 + 4x + -6y = 0

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + 4x + -22 + -6y = 0 + -22

Reorder the terms:
22 + -22 + 4x + -6y = 0 + -22

Combine like terms: 22 + -22 = 0
0 + 4x + -6y = 0 + -22
4x + -6y = 0 + -22

Combine like terms: 0 + -22 = -22
4x + -6y = -22

Add '6y' to each side of the equation.
4x + -6y + 6y = -22 + 6y

Combine like terms: -6y + 6y = 0
4x + 0 = -22 + 6y
4x = -22 + 6y

Divide each side by '4'.
x = -5.5 + 1.5y

Simplifying
x = -5.5 + 1.5y

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