3x+1=-(x-9)

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


Simplifying
3x + 1 = -1(x + -9)

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

Reorder the terms:
1 + 3x = -1(-9 + x)
1 + 3x = (-9 * -1 + x * -1)
1 + 3x = (9 + -1x)

Solving
1 + 3x = 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 + 3x + x = 9 + -1x + x

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

Combine like terms: -1x + x = 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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