4y-6+x=3x+4-10

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Solution for 4y-6+x=3x+4-10 equation:


Simplifying
4y + -6 + x = 3x + 4 + -10

Reorder the terms:
-6 + x + 4y = 3x + 4 + -10

Reorder the terms:
-6 + x + 4y = 4 + -10 + 3x

Combine like terms: 4 + -10 = -6
-6 + x + 4y = -6 + 3x

Add '6' to each side of the equation.
-6 + x + 6 + 4y = -6 + 6 + 3x

Reorder the terms:
-6 + 6 + x + 4y = -6 + 6 + 3x

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

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

Solving
x + 4y = 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
x + -3x + 4y = 3x + -3x

Combine like terms: x + -3x = -2x
-2x + 4y = 3x + -3x

Combine like terms: 3x + -3x = 0
-2x + 4y = 0

Add '-4y' to each side of the equation.
-2x + 4y + -4y = 0 + -4y

Combine like terms: 4y + -4y = 0
-2x + 0 = 0 + -4y
-2x = 0 + -4y
Remove the zero:
-2x = -4y

Divide each side by '-2'.
x = 2y

Simplifying
x = 2y

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