3x+7y-1=24y-x-10

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Solution for 3x+7y-1=24y-x-10 equation:


Simplifying
3x + 7y + -1 = 24y + -1x + -10

Reorder the terms:
-1 + 3x + 7y = 24y + -1x + -10

Reorder the terms:
-1 + 3x + 7y = -10 + -1x + 24y

Solving
-1 + 3x + 7y = -10 + -1x + 24y

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-1 + 3x + x + 7y = -10 + -1x + x + 24y

Combine like terms: 3x + x = 4x
-1 + 4x + 7y = -10 + -1x + x + 24y

Combine like terms: -1x + x = 0
-1 + 4x + 7y = -10 + 0 + 24y
-1 + 4x + 7y = -10 + 24y

Add '1' to each side of the equation.
-1 + 4x + 1 + 7y = -10 + 1 + 24y

Reorder the terms:
-1 + 1 + 4x + 7y = -10 + 1 + 24y

Combine like terms: -1 + 1 = 0
0 + 4x + 7y = -10 + 1 + 24y
4x + 7y = -10 + 1 + 24y

Combine like terms: -10 + 1 = -9
4x + 7y = -9 + 24y

Add '-7y' to each side of the equation.
4x + 7y + -7y = -9 + 24y + -7y

Combine like terms: 7y + -7y = 0
4x + 0 = -9 + 24y + -7y
4x = -9 + 24y + -7y

Combine like terms: 24y + -7y = 17y
4x = -9 + 17y

Divide each side by '4'.
x = -2.25 + 4.25y

Simplifying
x = -2.25 + 4.25y

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