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

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


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

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

Combine like terms: 13 + 24 = 37
37 + 3x = x + -3

Reorder the terms:
37 + 3x = -3 + x

Solving
37 + 3x = -3 + 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 + 3x + -1x = -3 + x + -1x

Combine like terms: 3x + -1x = 2x
37 + 2x = -3 + x + -1x

Combine like terms: x + -1x = 0
37 + 2x = -3 + 0
37 + 2x = -3

Add '-37' to each side of the equation.
37 + -37 + 2x = -3 + -37

Combine like terms: 37 + -37 = 0
0 + 2x = -3 + -37
2x = -3 + -37

Combine like terms: -3 + -37 = -40
2x = -40

Divide each side by '2'.
x = -20

Simplifying
x = -20

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