6(-3x+10)=-3(9x+10)

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Solution for 6(-3x+10)=-3(9x+10) equation:


Simplifying
6(-3x + 10) = -3(9x + 10)

Reorder the terms:
6(10 + -3x) = -3(9x + 10)
(10 * 6 + -3x * 6) = -3(9x + 10)
(60 + -18x) = -3(9x + 10)

Reorder the terms:
60 + -18x = -3(10 + 9x)
60 + -18x = (10 * -3 + 9x * -3)
60 + -18x = (-30 + -27x)

Solving
60 + -18x = -30 + -27x

Solving for variable 'x'.

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

Add '27x' to each side of the equation.
60 + -18x + 27x = -30 + -27x + 27x

Combine like terms: -18x + 27x = 9x
60 + 9x = -30 + -27x + 27x

Combine like terms: -27x + 27x = 0
60 + 9x = -30 + 0
60 + 9x = -30

Add '-60' to each side of the equation.
60 + -60 + 9x = -30 + -60

Combine like terms: 60 + -60 = 0
0 + 9x = -30 + -60
9x = -30 + -60

Combine like terms: -30 + -60 = -90
9x = -90

Divide each side by '9'.
x = -10

Simplifying
x = -10

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