3x+13=-x+1

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Solution for 3x+13=-x+1 equation:


Simplifying
3x + 13 = -1x + 1

Reorder the terms:
13 + 3x = -1x + 1

Reorder the terms:
13 + 3x = 1 + -1x

Solving
13 + 3x = 1 + -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.
13 + 3x + x = 1 + -1x + x

Combine like terms: 3x + x = 4x
13 + 4x = 1 + -1x + x

Combine like terms: -1x + x = 0
13 + 4x = 1 + 0
13 + 4x = 1

Add '-13' to each side of the equation.
13 + -13 + 4x = 1 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 1 + -13
4x = 1 + -13

Combine like terms: 1 + -13 = -12
4x = -12

Divide each side by '4'.
x = -3

Simplifying
x = -3

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