-342=-6(1+7x)

Solution for -342=-6(1+7x) equation:

Simplifying
-342 = -6(1 + 7x)
-342 = (1 * -6 + 7x * -6)
-342 = (-6 + -42x)

Solving
-342 = -6 + -42x

Solving for variable 'x'.

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

Add '42x' to each side of the equation.
-342 + 42x = -6 + -42x + 42x

Combine like terms: -42x + 42x = 0
-342 + 42x = -6 + 0
-342 + 42x = -6

Add '342' to each side of the equation.
-342 + 342 + 42x = -6 + 342

Combine like terms: -342 + 342 = 0
0 + 42x = -6 + 342
42x = -6 + 342

Combine like terms: -6 + 342 = 336
42x = 336

Divide each side by '42'.
x = 8

Simplifying
x = 8