4x+1=-x-9

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Solution for 4x+1=-x-9 equation:


Simplifying
4x + 1 = -1x + -9

Reorder the terms:
1 + 4x = -1x + -9

Reorder the terms:
1 + 4x = -9 + -1x

Solving
1 + 4x = -9 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
1 + 4x + x = -9 + -1x + x

Combine like terms: 4x + x = 5x
1 + 5x = -9 + -1x + x

Combine like terms: -1x + x = 0
1 + 5x = -9 + 0
1 + 5x = -9

Add '-1' to each side of the equation.
1 + -1 + 5x = -9 + -1

Combine like terms: 1 + -1 = 0
0 + 5x = -9 + -1
5x = -9 + -1

Combine like terms: -9 + -1 = -10
5x = -10

Divide each side by '5'.
x = -2

Simplifying
x = -2

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