x+8=-4x+9

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Solution for x+8=-4x+9 equation:


Simplifying
x + 8 = -4x + 9

Reorder the terms:
8 + x = -4x + 9

Reorder the terms:
8 + x = 9 + -4x

Solving
8 + x = 9 + -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 + x + 4x = 9 + -4x + 4x

Combine like terms: x + 4x = 5x
8 + 5x = 9 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + 5x = 9 + 0
8 + 5x = 9

Add '-8' to each side of the equation.
8 + -8 + 5x = 9 + -8

Combine like terms: 8 + -8 = 0
0 + 5x = 9 + -8
5x = 9 + -8

Combine like terms: 9 + -8 = 1
5x = 1

Divide each side by '5'.
x = 0.2

Simplifying
x = 0.2

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