(7.1x-6.3)-(6.7x-7.9)=0

Solution for (7.1x-6.3)-(6.7x-7.9)=0 equation:

Simplifying
(7.1x + -6.3) + -1(6.7x + -7.9) = 0

Reorder the terms:
(-6.3 + 7.1x) + -1(6.7x + -7.9) = 0

Remove parenthesis around (-6.3 + 7.1x)
-6.3 + 7.1x + -1(6.7x + -7.9) = 0

Reorder the terms:
-6.3 + 7.1x + -1(-7.9 + 6.7x) = 0
-6.3 + 7.1x + (-7.9 * -1 + 6.7x * -1) = 0
-6.3 + 7.1x + (7.9 + -6.7x) = 0

Reorder the terms:
-6.3 + 7.9 + 7.1x + -6.7x = 0

Combine like terms: -6.3 + 7.9 = 1.6
1.6 + 7.1x + -6.7x = 0

Combine like terms: 7.1x + -6.7x = 0.4x
1.6 + 0.4x = 0

Solving
1.6 + 0.4x = 0

Solving for variable 'x'.

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

Add '-1.6' to each side of the equation.
1.6 + -1.6 + 0.4x = 0 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
0.0 + 0.4x = 0 + -1.6
0.4x = 0 + -1.6

Combine like terms: 0 + -1.6 = -1.6
0.4x = -1.6

Divide each side by '0.4'.
x = -4

Simplifying
x = -4