5x+6=38-3x

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Solution for 5x+6=38-3x equation:


Simplifying
5x + 6 = 38 + -3x

Reorder the terms:
6 + 5x = 38 + -3x

Solving
6 + 5x = 38 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
6 + 5x + 3x = 38 + -3x + 3x

Combine like terms: 5x + 3x = 8x
6 + 8x = 38 + -3x + 3x

Combine like terms: -3x + 3x = 0
6 + 8x = 38 + 0
6 + 8x = 38

Add '-6' to each side of the equation.
6 + -6 + 8x = 38 + -6

Combine like terms: 6 + -6 = 0
0 + 8x = 38 + -6
8x = 38 + -6

Combine like terms: 38 + -6 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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