-6(x-6)=3(x-10)

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Solution for -6(x-6)=3(x-10) equation: 


Simplifying
-6(x + -6) = 3(x + -10)

Reorder the terms:
-6(-6 + x) = 3(x + -10)
(-6 * -6 + x * -6) = 3(x + -10)
(36 + -6x) = 3(x + -10)

Reorder the terms:
36 + -6x = 3(-10 + x)
36 + -6x = (-10 * 3 + x * 3)
36 + -6x = (-30 + 3x)

Solving
36 + -6x = -30 + 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.
36 + -6x + -3x = -30 + 3x + -3x

Combine like terms: -6x + -3x = -9x
36 + -9x = -30 + 3x + -3x

Combine like terms: 3x + -3x = 0
36 + -9x = -30 + 0
36 + -9x = -30

Add '-36' to each side of the equation.
36 + -36 + -9x = -30 + -36

Combine like terms: 36 + -36 = 0
0 + -9x = -30 + -36
-9x = -30 + -36

Combine like terms: -30 + -36 = -66
-9x = -66

Divide each side by '-9'.
x = 7.333333333

Simplifying
x = 7.333333333

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