3x-1=4x+6

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Solution for 3x-1=4x+6 equation:


Simplifying
3x + -1 = 4x + 6

Reorder the terms:
-1 + 3x = 4x + 6

Reorder the terms:
-1 + 3x = 6 + 4x

Solving
-1 + 3x = 6 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-1 + 3x + -4x = 6 + 4x + -4x

Combine like terms: 3x + -4x = -1x
-1 + -1x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-1 + -1x = 6 + 0
-1 + -1x = 6

Add '1' to each side of the equation.
-1 + 1 + -1x = 6 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 6 + 1
-1x = 6 + 1

Combine like terms: 6 + 1 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

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