3(x+4)+1=9-x

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Solution for 3(x+4)+1=9-x equation:


Simplifying
3(x + 4) + 1 = 9 + -1x

Reorder the terms:
3(4 + x) + 1 = 9 + -1x
(4 * 3 + x * 3) + 1 = 9 + -1x
(12 + 3x) + 1 = 9 + -1x

Reorder the terms:
12 + 1 + 3x = 9 + -1x

Combine like terms: 12 + 1 = 13
13 + 3x = 9 + -1x

Solving
13 + 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.
13 + 3x + x = 9 + -1x + x

Combine like terms: 3x + x = 4x
13 + 4x = 9 + -1x + x

Combine like terms: -1x + x = 0
13 + 4x = 9 + 0
13 + 4x = 9

Add '-13' to each side of the equation.
13 + -13 + 4x = 9 + -13

Combine like terms: 13 + -13 = 0
0 + 4x = 9 + -13
4x = 9 + -13

Combine like terms: 9 + -13 = -4
4x = -4

Divide each side by '4'.
x = -1

Simplifying
x = -1

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