42=-3(1+5x)-3(3x+1)

Solution for 42=-3(1+5x)-3(3x+1) equation:

Simplifying
42 = -3(1 + 5x) + -3(3x + 1)
42 = (1 * -3 + 5x * -3) + -3(3x + 1)
42 = (-3 + -15x) + -3(3x + 1)

Reorder the terms:
42 = -3 + -15x + -3(1 + 3x)
42 = -3 + -15x + (1 * -3 + 3x * -3)
42 = -3 + -15x + (-3 + -9x)

Reorder the terms:
42 = -3 + -3 + -15x + -9x

Combine like terms: -3 + -3 = -6
42 = -6 + -15x + -9x

Combine like terms: -15x + -9x = -24x
42 = -6 + -24x

Solving
42 = -6 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
42 + 24x = -6 + -24x + 24x

Combine like terms: -24x + 24x = 0
42 + 24x = -6 + 0
42 + 24x = -6

Add '-42' to each side of the equation.
42 + -42 + 24x = -6 + -42

Combine like terms: 42 + -42 = 0
0 + 24x = -6 + -42
24x = -6 + -42

Combine like terms: -6 + -42 = -48
24x = -48

Divide each side by '24'.
x = -2

Simplifying
x = -2