3+6(7x+8)=-6+3(x-7)

Solution for 3+6(7x+8)=-6+3(x-7) equation:

Simplifying
3 + 6(7x + 8) = -6 + 3(x + -7)

Reorder the terms:
3 + 6(8 + 7x) = -6 + 3(x + -7)
3 + (8 * 6 + 7x * 6) = -6 + 3(x + -7)
3 + (48 + 42x) = -6 + 3(x + -7)

Combine like terms: 3 + 48 = 51
51 + 42x = -6 + 3(x + -7)

Reorder the terms:
51 + 42x = -6 + 3(-7 + x)
51 + 42x = -6 + (-7 * 3 + x * 3)
51 + 42x = -6 + (-21 + 3x)

Combine like terms: -6 + -21 = -27
51 + 42x = -27 + 3x

Solving
51 + 42x = -27 + 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.
51 + 42x + -3x = -27 + 3x + -3x

Combine like terms: 42x + -3x = 39x
51 + 39x = -27 + 3x + -3x

Combine like terms: 3x + -3x = 0
51 + 39x = -27 + 0
51 + 39x = -27

Add '-51' to each side of the equation.
51 + -51 + 39x = -27 + -51

Combine like terms: 51 + -51 = 0
0 + 39x = -27 + -51
39x = -27 + -51

Combine like terms: -27 + -51 = -78
39x = -78

Divide each side by '39'.
x = -2

Simplifying
x = -2