3(x+1)=-4(2x-6)

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Solution for 3(x+1)=-4(2x-6) equation:


Simplifying
3(x + 1) = -4(2x + -6)

Reorder the terms:
3(1 + x) = -4(2x + -6)
(1 * 3 + x * 3) = -4(2x + -6)
(3 + 3x) = -4(2x + -6)

Reorder the terms:
3 + 3x = -4(-6 + 2x)
3 + 3x = (-6 * -4 + 2x * -4)
3 + 3x = (24 + -8x)

Solving
3 + 3x = 24 + -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
3 + 3x + 8x = 24 + -8x + 8x

Combine like terms: 3x + 8x = 11x
3 + 11x = 24 + -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 11x = 24 + 0
3 + 11x = 24

Add '-3' to each side of the equation.
3 + -3 + 11x = 24 + -3

Combine like terms: 3 + -3 = 0
0 + 11x = 24 + -3
11x = 24 + -3

Combine like terms: 24 + -3 = 21
11x = 21

Divide each side by '11'.
x = 1.909090909

Simplifying
x = 1.909090909

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