13+3(3x+8)=x-13

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Solution for 13+3(3x+8)=x-13 equation:


Simplifying
13 + 3(3x + 8) = x + -13

Reorder the terms:
13 + 3(8 + 3x) = x + -13
13 + (8 * 3 + 3x * 3) = x + -13
13 + (24 + 9x) = x + -13

Combine like terms: 13 + 24 = 37
37 + 9x = x + -13

Reorder the terms:
37 + 9x = -13 + x

Solving
37 + 9x = -13 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
37 + 9x + -1x = -13 + x + -1x

Combine like terms: 9x + -1x = 8x
37 + 8x = -13 + x + -1x

Combine like terms: x + -1x = 0
37 + 8x = -13 + 0
37 + 8x = -13

Add '-37' to each side of the equation.
37 + -37 + 8x = -13 + -37

Combine like terms: 37 + -37 = 0
0 + 8x = -13 + -37
8x = -13 + -37

Combine like terms: -13 + -37 = -50
8x = -50

Divide each side by '8'.
x = -6.25

Simplifying
x = -6.25

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