(8x-10)=15+5(x-10)

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Solution for (8x-10)=15+5(x-10) equation: 


Simplifying
(8x + -10) = 15 + 5(x + -10)

Reorder the terms:
(-10 + 8x) = 15 + 5(x + -10)

Remove parenthesis around (-10 + 8x)
-10 + 8x = 15 + 5(x + -10)

Reorder the terms:
-10 + 8x = 15 + 5(-10 + x)
-10 + 8x = 15 + (-10 * 5 + x * 5)
-10 + 8x = 15 + (-50 + 5x)

Combine like terms: 15 + -50 = -35
-10 + 8x = -35 + 5x

Solving
-10 + 8x = -35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-10 + 8x + -5x = -35 + 5x + -5x

Combine like terms: 8x + -5x = 3x
-10 + 3x = -35 + 5x + -5x

Combine like terms: 5x + -5x = 0
-10 + 3x = -35 + 0
-10 + 3x = -35

Add '10' to each side of the equation.
-10 + 10 + 3x = -35 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -35 + 10
3x = -35 + 10

Combine like terms: -35 + 10 = -25
3x = -25

Divide each side by '3'.
x = -8.333333333

Simplifying
x = -8.333333333

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