5(x-5)+3x=6x-8

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Solution for 5(x-5)+3x=6x-8 equation:


Simplifying
5(x + -5) + 3x = 6x + -8

Reorder the terms:
5(-5 + x) + 3x = 6x + -8
(-5 * 5 + x * 5) + 3x = 6x + -8
(-25 + 5x) + 3x = 6x + -8

Combine like terms: 5x + 3x = 8x
-25 + 8x = 6x + -8

Reorder the terms:
-25 + 8x = -8 + 6x

Solving
-25 + 8x = -8 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-25 + 8x + -6x = -8 + 6x + -6x

Combine like terms: 8x + -6x = 2x
-25 + 2x = -8 + 6x + -6x

Combine like terms: 6x + -6x = 0
-25 + 2x = -8 + 0
-25 + 2x = -8

Add '25' to each side of the equation.
-25 + 25 + 2x = -8 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = -8 + 25
2x = -8 + 25

Combine like terms: -8 + 25 = 17
2x = 17

Divide each side by '2'.
x = 8.5

Simplifying
x = 8.5

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