4x+1=8x-5

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


Simplifying
4x + 1 = 8x + -5

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

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

Solving
1 + 4x = -5 + 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.
1 + 4x + -8x = -5 + 8x + -8x

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

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

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

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

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

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

Simplifying
x = 1.5

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