(3(x+1)-7x+9)=-6(x-2)

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Solution for (3(x+1)-7x+9)=-6(x-2) equation:


Simplifying
(3(x + 1) + -7x + 9) = -6(x + -2)

Reorder the terms:
(3(1 + x) + -7x + 9) = -6(x + -2)
((1 * 3 + x * 3) + -7x + 9) = -6(x + -2)
((3 + 3x) + -7x + 9) = -6(x + -2)

Reorder the terms:
(3 + 9 + 3x + -7x) = -6(x + -2)

Combine like terms: 3 + 9 = 12
(12 + 3x + -7x) = -6(x + -2)

Combine like terms: 3x + -7x = -4x
(12 + -4x) = -6(x + -2)

Remove parenthesis around (12 + -4x)
12 + -4x = -6(x + -2)

Reorder the terms:
12 + -4x = -6(-2 + x)
12 + -4x = (-2 * -6 + x * -6)
12 + -4x = (12 + -6x)

Add '-12' to each side of the equation.
12 + -12 + -4x = 12 + -12 + -6x

Combine like terms: 12 + -12 = 0
0 + -4x = 12 + -12 + -6x
-4x = 12 + -12 + -6x

Combine like terms: 12 + -12 = 0
-4x = 0 + -6x
-4x = -6x

Solving
-4x = -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-4x + 6x = -6x + 6x

Combine like terms: -4x + 6x = 2x
2x = -6x + 6x

Combine like terms: -6x + 6x = 0
2x = 0

Divide each side by '2'.
x = 0

Simplifying
x = 0

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