10-5x=10x-5(x-6)

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Solution for 10-5x=10x-5(x-6) equation:


Simplifying
10 + -5x = 10x + -5(x + -6)

Reorder the terms:
10 + -5x = 10x + -5(-6 + x)
10 + -5x = 10x + (-6 * -5 + x * -5)
10 + -5x = 10x + (30 + -5x)

Reorder the terms:
10 + -5x = 30 + 10x + -5x

Combine like terms: 10x + -5x = 5x
10 + -5x = 30 + 5x

Solving
10 + -5x = 30 + 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 + -5x + -5x = 30 + 5x + -5x

Combine like terms: -5x + -5x = -10x
10 + -10x = 30 + 5x + -5x

Combine like terms: 5x + -5x = 0
10 + -10x = 30 + 0
10 + -10x = 30

Add '-10' to each side of the equation.
10 + -10 + -10x = 30 + -10

Combine like terms: 10 + -10 = 0
0 + -10x = 30 + -10
-10x = 30 + -10

Combine like terms: 30 + -10 = 20
-10x = 20

Divide each side by '-10'.
x = -2

Simplifying
x = -2

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