x+1=-3x+9

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Solution for x+1=-3x+9 equation:


Simplifying
x + 1 = -3x + 9

Reorder the terms:
1 + x = -3x + 9

Reorder the terms:
1 + x = 9 + -3x

Solving
1 + x = 9 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
1 + x + 3x = 9 + -3x + 3x

Combine like terms: x + 3x = 4x
1 + 4x = 9 + -3x + 3x

Combine like terms: -3x + 3x = 0
1 + 4x = 9 + 0
1 + 4x = 9

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

Combine like terms: 1 + -1 = 0
0 + 4x = 9 + -1
4x = 9 + -1

Combine like terms: 9 + -1 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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