3x+8=1-4x

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Solution for 3x+8=1-4x equation:


Simplifying
3x + 8 = 1 + -4x

Reorder the terms:
8 + 3x = 1 + -4x

Solving
8 + 3x = 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.
8 + 3x + 4x = 1 + -4x + 4x

Combine like terms: 3x + 4x = 7x
8 + 7x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 7x = 1 + 0
8 + 7x = 1

Add '-8' to each side of the equation.
8 + -8 + 7x = 1 + -8

Combine like terms: 8 + -8 = 0
0 + 7x = 1 + -8
7x = 1 + -8

Combine like terms: 1 + -8 = -7
7x = -7

Divide each side by '7'.
x = -1

Simplifying
x = -1

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