3x+13=-6x+121

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Solution for 3x+13=-6x+121 equation:


Simplifying
3x + 13 = -6x + 121

Reorder the terms:
13 + 3x = -6x + 121

Reorder the terms:
13 + 3x = 121 + -6x

Solving
13 + 3x = 121 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
13 + 3x + 6x = 121 + -6x + 6x

Combine like terms: 3x + 6x = 9x
13 + 9x = 121 + -6x + 6x

Combine like terms: -6x + 6x = 0
13 + 9x = 121 + 0
13 + 9x = 121

Add '-13' to each side of the equation.
13 + -13 + 9x = 121 + -13

Combine like terms: 13 + -13 = 0
0 + 9x = 121 + -13
9x = 121 + -13

Combine like terms: 121 + -13 = 108
9x = 108

Divide each side by '9'.
x = 12

Simplifying
x = 12

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