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

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


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

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

Reorder the terms:
30 + -3x = 6(3 + 3x)
30 + -3x = (3 * 6 + 3x * 6)
30 + -3x = (18 + 18x)

Solving
30 + -3x = 18 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
30 + -3x + -18x = 18 + 18x + -18x

Combine like terms: -3x + -18x = -21x
30 + -21x = 18 + 18x + -18x

Combine like terms: 18x + -18x = 0
30 + -21x = 18 + 0
30 + -21x = 18

Add '-30' to each side of the equation.
30 + -30 + -21x = 18 + -30

Combine like terms: 30 + -30 = 0
0 + -21x = 18 + -30
-21x = 18 + -30

Combine like terms: 18 + -30 = -12
-21x = -12

Divide each side by '-21'.
x = 0.5714285714

Simplifying
x = 0.5714285714

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