5(x-2)+38=-3x

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Solution for 5(x-2)+38=-3x equation:


Simplifying
5(x + -2) + 38 = -3x

Reorder the terms:
5(-2 + x) + 38 = -3x
(-2 * 5 + x * 5) + 38 = -3x
(-10 + 5x) + 38 = -3x

Reorder the terms:
-10 + 38 + 5x = -3x

Combine like terms: -10 + 38 = 28
28 + 5x = -3x

Solving
28 + 5x = -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.
28 + 5x + 3x = -3x + 3x

Combine like terms: 5x + 3x = 8x
28 + 8x = -3x + 3x

Combine like terms: -3x + 3x = 0
28 + 8x = 0

Add '-28' to each side of the equation.
28 + -28 + 8x = 0 + -28

Combine like terms: 28 + -28 = 0
0 + 8x = 0 + -28
8x = 0 + -28

Combine like terms: 0 + -28 = -28
8x = -28

Divide each side by '8'.
x = -3.5

Simplifying
x = -3.5

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