5x-8=3(x+5)

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Solution for 5x-8=3(x+5) equation:


Simplifying
5x + -8 = 3(x + 5)

Reorder the terms:
-8 + 5x = 3(x + 5)

Reorder the terms:
-8 + 5x = 3(5 + x)
-8 + 5x = (5 * 3 + x * 3)
-8 + 5x = (15 + 3x)

Solving
-8 + 5x = 15 + 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.
-8 + 5x + -3x = 15 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = 15 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x = 15 + 0
-8 + 2x = 15

Add '8' to each side of the equation.
-8 + 8 + 2x = 15 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 15 + 8
2x = 15 + 8

Combine like terms: 15 + 8 = 23
2x = 23

Divide each side by '2'.
x = 11.5

Simplifying
x = 11.5

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