4x-5=8x+1

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Solution for 4x-5=8x+1 equation:


Simplifying
4x + -5 = 8x + 1

Reorder the terms:
-5 + 4x = 8x + 1

Reorder the terms:
-5 + 4x = 1 + 8x

Solving
-5 + 4x = 1 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-5 + 4x + -8x = 1 + 8x + -8x

Combine like terms: 4x + -8x = -4x
-5 + -4x = 1 + 8x + -8x

Combine like terms: 8x + -8x = 0
-5 + -4x = 1 + 0
-5 + -4x = 1

Add '5' to each side of the equation.
-5 + 5 + -4x = 1 + 5

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

Combine like terms: 1 + 5 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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