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

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


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

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

Reorder the terms:
12 + 3x = -8(-6 + x)
12 + 3x = (-6 * -8 + x * -8)
12 + 3x = (48 + -8x)

Solving
12 + 3x = 48 + -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.
12 + 3x + 8x = 48 + -8x + 8x

Combine like terms: 3x + 8x = 11x
12 + 11x = 48 + -8x + 8x

Combine like terms: -8x + 8x = 0
12 + 11x = 48 + 0
12 + 11x = 48

Add '-12' to each side of the equation.
12 + -12 + 11x = 48 + -12

Combine like terms: 12 + -12 = 0
0 + 11x = 48 + -12
11x = 48 + -12

Combine like terms: 48 + -12 = 36
11x = 36

Divide each side by '11'.
x = 3.272727273

Simplifying
x = 3.272727273

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