42=3x+3(2x-4)

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Solution for 42=3x+3(2x-4) equation:


Simplifying
42 = 3x + 3(2x + -4)

Reorder the terms:
42 = 3x + 3(-4 + 2x)
42 = 3x + (-4 * 3 + 2x * 3)
42 = 3x + (-12 + 6x)

Reorder the terms:
42 = -12 + 3x + 6x

Combine like terms: 3x + 6x = 9x
42 = -12 + 9x

Solving
42 = -12 + 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.
42 + -9x = -12 + 9x + -9x

Combine like terms: 9x + -9x = 0
42 + -9x = -12 + 0
42 + -9x = -12

Add '-42' to each side of the equation.
42 + -42 + -9x = -12 + -42

Combine like terms: 42 + -42 = 0
0 + -9x = -12 + -42
-9x = -12 + -42

Combine like terms: -12 + -42 = -54
-9x = -54

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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