5(-4)+8(x+6)=12(x+4)

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Solution for 5(-4)+8(x+6)=12(x+4) equation:


Simplifying
5(-4) + 8(x + 6) = 12(x + 4)

Multiply 5 * -4
-20 + 8(x + 6) = 12(x + 4)

Reorder the terms:
-20 + 8(6 + x) = 12(x + 4)
-20 + (6 * 8 + x * 8) = 12(x + 4)
-20 + (48 + 8x) = 12(x + 4)

Combine like terms: -20 + 48 = 28
28 + 8x = 12(x + 4)

Reorder the terms:
28 + 8x = 12(4 + x)
28 + 8x = (4 * 12 + x * 12)
28 + 8x = (48 + 12x)

Solving
28 + 8x = 48 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
28 + 8x + -12x = 48 + 12x + -12x

Combine like terms: 8x + -12x = -4x
28 + -4x = 48 + 12x + -12x

Combine like terms: 12x + -12x = 0
28 + -4x = 48 + 0
28 + -4x = 48

Add '-28' to each side of the equation.
28 + -28 + -4x = 48 + -28

Combine like terms: 28 + -28 = 0
0 + -4x = 48 + -28
-4x = 48 + -28

Combine like terms: 48 + -28 = 20
-4x = 20

Divide each side by '-4'.
x = -5

Simplifying
x = -5

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