6(x+3)=-2(3-7x)

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Solution for 6(x+3)=-2(3-7x) equation:


Simplifying
6(x + 3) = -2(3 + -7x)

Reorder the terms:
6(3 + x) = -2(3 + -7x)
(3 * 6 + x * 6) = -2(3 + -7x)
(18 + 6x) = -2(3 + -7x)
18 + 6x = (3 * -2 + -7x * -2)
18 + 6x = (-6 + 14x)

Solving
18 + 6x = -6 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
18 + 6x + -14x = -6 + 14x + -14x

Combine like terms: 6x + -14x = -8x
18 + -8x = -6 + 14x + -14x

Combine like terms: 14x + -14x = 0
18 + -8x = -6 + 0
18 + -8x = -6

Add '-18' to each side of the equation.
18 + -18 + -8x = -6 + -18

Combine like terms: 18 + -18 = 0
0 + -8x = -6 + -18
-8x = -6 + -18

Combine like terms: -6 + -18 = -24
-8x = -24

Divide each side by '-8'.
x = 3

Simplifying
x = 3

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