48=3x+6(x-4)

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Solution for 48=3x+6(x-4) equation:


Simplifying
48 = 3x + 6(x + -4)

Reorder the terms:
48 = 3x + 6(-4 + x)
48 = 3x + (-4 * 6 + x * 6)
48 = 3x + (-24 + 6x)

Reorder the terms:
48 = -24 + 3x + 6x

Combine like terms: 3x + 6x = 9x
48 = -24 + 9x

Solving
48 = -24 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
48 + -9x = -24 + 9x + -9x

Combine like terms: 9x + -9x = 0
48 + -9x = -24 + 0
48 + -9x = -24

Add '-48' to each side of the equation.
48 + -48 + -9x = -24 + -48

Combine like terms: 48 + -48 = 0
0 + -9x = -24 + -48
-9x = -24 + -48

Combine like terms: -24 + -48 = -72
-9x = -72

Divide each side by '-9'.
x = 8

Simplifying
x = 8

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