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 = 4x
-4 + 4x = 6 + -3x + 3x

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

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

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

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

Divide each side by '4'.
x = 2.5

Simplifying
x = 2.5

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