10-6(x-15)=10(10x-15)

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Solution for 10-6(x-15)=10(10x-15) equation: 


Simplifying
10 + -6(x + -15) = 10(10x + -15)

Reorder the terms:
10 + -6(-15 + x) = 10(10x + -15)
10 + (-15 * -6 + x * -6) = 10(10x + -15)
10 + (90 + -6x) = 10(10x + -15)

Combine like terms: 10 + 90 = 100
100 + -6x = 10(10x + -15)

Reorder the terms:
100 + -6x = 10(-15 + 10x)
100 + -6x = (-15 * 10 + 10x * 10)
100 + -6x = (-150 + 100x)

Solving
100 + -6x = -150 + 100x

Solving for variable 'x'.

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

Add '-100x' to each side of the equation.
100 + -6x + -100x = -150 + 100x + -100x

Combine like terms: -6x + -100x = -106x
100 + -106x = -150 + 100x + -100x

Combine like terms: 100x + -100x = 0
100 + -106x = -150 + 0
100 + -106x = -150

Add '-100' to each side of the equation.
100 + -100 + -106x = -150 + -100

Combine like terms: 100 + -100 = 0
0 + -106x = -150 + -100
-106x = -150 + -100

Combine like terms: -150 + -100 = -250
-106x = -250

Divide each side by '-106'.
x = 2.358490566

Simplifying
x = 2.358490566

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