x+1=4x-5

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Solution for x+1=4x-5 equation:


Simplifying
x + 1 = 4x + -5

Reorder the terms:
1 + x = 4x + -5

Reorder the terms:
1 + x = -5 + 4x

Solving
1 + x = -5 + 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 + x + -4x = -5 + 4x + -4x

Combine like terms: x + -4x = -3x
1 + -3x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
1 + -3x = -5 + 0
1 + -3x = -5

Add '-1' to each side of the equation.
1 + -1 + -3x = -5 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = -5 + -1
-3x = -5 + -1

Combine like terms: -5 + -1 = -6
-3x = -6

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

Simplifying
x = 2

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