6+7(x-7)=1-6(x-7)

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

Simplifying
6 + 7(x + -7) = 1 + -6(x + -7)

Reorder the terms:
6 + 7(-7 + x) = 1 + -6(x + -7)
6 + (-7 * 7 + x * 7) = 1 + -6(x + -7)
6 + (-49 + 7x) = 1 + -6(x + -7)

Combine like terms: 6 + -49 = -43
-43 + 7x = 1 + -6(x + -7)

Reorder the terms:
-43 + 7x = 1 + -6(-7 + x)
-43 + 7x = 1 + (-7 * -6 + x * -6)
-43 + 7x = 1 + (42 + -6x)

Combine like terms: 1 + 42 = 43
-43 + 7x = 43 + -6x

Solving
-43 + 7x = 43 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-43 + 7x + 6x = 43 + -6x + 6x

Combine like terms: 7x + 6x = 13x
-43 + 13x = 43 + -6x + 6x

Combine like terms: -6x + 6x = 0
-43 + 13x = 43 + 0
-43 + 13x = 43

Add '43' to each side of the equation.
-43 + 43 + 13x = 43 + 43

Combine like terms: -43 + 43 = 0
0 + 13x = 43 + 43
13x = 43 + 43

Combine like terms: 43 + 43 = 86
13x = 86

Divide each side by '13'.
x = 6.615384615

Simplifying
x = 6.615384615