x-4=7x+2

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Solution for x-4=7x+2 equation:


Simplifying
x + -4 = 7x + 2

Reorder the terms:
-4 + x = 7x + 2

Reorder the terms:
-4 + x = 2 + 7x

Solving
-4 + x = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + x + -7x = 2 + 7x + -7x

Combine like terms: x + -7x = -6x
-4 + -6x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -6x = 2 + 0
-4 + -6x = 2

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

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

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

Divide each side by '-6'.
x = -1

Simplifying
x = -1

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