x-7=4x-1

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Solution for x-7=4x-1 equation:


Simplifying
x + -7 = 4x + -1

Reorder the terms:
-7 + x = 4x + -1

Reorder the terms:
-7 + x = -1 + 4x

Solving
-7 + x = -1 + 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.
-7 + x + -4x = -1 + 4x + -4x

Combine like terms: x + -4x = -3x
-7 + -3x = -1 + 4x + -4x

Combine like terms: 4x + -4x = 0
-7 + -3x = -1 + 0
-7 + -3x = -1

Add '7' to each side of the equation.
-7 + 7 + -3x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = -1 + 7
-3x = -1 + 7

Combine like terms: -1 + 7 = 6
-3x = 6

Divide each side by '-3'.
x = -2

Simplifying
x = -2

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