x-4=3x+6

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


Simplifying
x + -4 = 3x + 6

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

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

Solving
-4 + x = 6 + 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.
-4 + x + -3x = 6 + 3x + -3x

Combine like terms: x + -3x = -2x
-4 + -2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + -2x = 6 + 0
-4 + -2x = 6

Add '4' to each side of the equation.
-4 + 4 + -2x = 6 + 4

Combine like terms: -4 + 4 = 0
0 + -2x = 6 + 4
-2x = 6 + 4

Combine like terms: 6 + 4 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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