6(1+7x)+3(4x-5)=-63

Solution for 6(1+7x)+3(4x-5)=-63 equation:

Simplifying
6(1 + 7x) + 3(4x + -5) = -63
(1 * 6 + 7x * 6) + 3(4x + -5) = -63
(6 + 42x) + 3(4x + -5) = -63

Reorder the terms:
6 + 42x + 3(-5 + 4x) = -63
6 + 42x + (-5 * 3 + 4x * 3) = -63
6 + 42x + (-15 + 12x) = -63

Reorder the terms:
6 + -15 + 42x + 12x = -63

Combine like terms: 6 + -15 = -9
-9 + 42x + 12x = -63

Combine like terms: 42x + 12x = 54x
-9 + 54x = -63

Solving
-9 + 54x = -63

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 54x = -63 + 9

Combine like terms: -9 + 9 = 0
0 + 54x = -63 + 9
54x = -63 + 9

Combine like terms: -63 + 9 = -54
54x = -54

Divide each side by '54'.
x = -1

Simplifying
x = -1