13=3x+8(x+6)

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Solution for 13=3x+8(x+6) equation:


Simplifying
13 = 3x + 8(x + 6)

Reorder the terms:
13 = 3x + 8(6 + x)
13 = 3x + (6 * 8 + x * 8)
13 = 3x + (48 + 8x)

Reorder the terms:
13 = 48 + 3x + 8x

Combine like terms: 3x + 8x = 11x
13 = 48 + 11x

Solving
13 = 48 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
13 + -11x = 48 + 11x + -11x

Combine like terms: 11x + -11x = 0
13 + -11x = 48 + 0
13 + -11x = 48

Add '-13' to each side of the equation.
13 + -13 + -11x = 48 + -13

Combine like terms: 13 + -13 = 0
0 + -11x = 48 + -13
-11x = 48 + -13

Combine like terms: 48 + -13 = 35
-11x = 35

Divide each side by '-11'.
x = -3.181818182

Simplifying
x = -3.181818182

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