3(x-4)-6=-8(x+7)

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Solution for 3(x-4)-6=-8(x+7) equation:


Simplifying
3(x + -4) + -6 = -8(x + 7)

Reorder the terms:
3(-4 + x) + -6 = -8(x + 7)
(-4 * 3 + x * 3) + -6 = -8(x + 7)
(-12 + 3x) + -6 = -8(x + 7)

Reorder the terms:
-12 + -6 + 3x = -8(x + 7)

Combine like terms: -12 + -6 = -18
-18 + 3x = -8(x + 7)

Reorder the terms:
-18 + 3x = -8(7 + x)
-18 + 3x = (7 * -8 + x * -8)
-18 + 3x = (-56 + -8x)

Solving
-18 + 3x = -56 + -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.
-18 + 3x + 8x = -56 + -8x + 8x

Combine like terms: 3x + 8x = 11x
-18 + 11x = -56 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 11x = -56 + 0
-18 + 11x = -56

Add '18' to each side of the equation.
-18 + 18 + 11x = -56 + 18

Combine like terms: -18 + 18 = 0
0 + 11x = -56 + 18
11x = -56 + 18

Combine like terms: -56 + 18 = -38
11x = -38

Divide each side by '11'.
x = -3.454545455

Simplifying
x = -3.454545455

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