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

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


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

Reorder the terms:
-42 + 3x = -3(x + 4)

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

Solving
-42 + 3x = -12 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-42 + 3x + 3x = -12 + -3x + 3x

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

Combine like terms: -3x + 3x = 0
-42 + 6x = -12 + 0
-42 + 6x = -12

Add '42' to each side of the equation.
-42 + 42 + 6x = -12 + 42

Combine like terms: -42 + 42 = 0
0 + 6x = -12 + 42
6x = -12 + 42

Combine like terms: -12 + 42 = 30
6x = 30

Divide each side by '6'.
x = 5

Simplifying
x = 5

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