2.6(x+1)=6(x+7.6)

Solution for 2.6(x+1)=6(x+7.6) equation:

Simplifying
2.6(x + 1) = 6(x + 7.6)

Reorder the terms:
2.6(1 + x) = 6(x + 7.6)
(1 * 2.6 + x * 2.6) = 6(x + 7.6)
(2.6 + 2.6x) = 6(x + 7.6)

Reorder the terms:
2.6 + 2.6x = 6(7.6 + x)
2.6 + 2.6x = (7.6 * 6 + x * 6)
2.6 + 2.6x = (45.6 + 6x)

Solving
2.6 + 2.6x = 45.6 + 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.
2.6 + 2.6x + -6x = 45.6 + 6x + -6x

Combine like terms: 2.6x + -6x = -3.4x
2.6 + -3.4x = 45.6 + 6x + -6x

Combine like terms: 6x + -6x = 0
2.6 + -3.4x = 45.6 + 0
2.6 + -3.4x = 45.6

Add '-2.6' to each side of the equation.
2.6 + -2.6 + -3.4x = 45.6 + -2.6

Combine like terms: 2.6 + -2.6 = 0.0
0.0 + -3.4x = 45.6 + -2.6
-3.4x = 45.6 + -2.6

Combine like terms: 45.6 + -2.6 = 43
-3.4x = 43

Divide each side by '-3.4'.
x = -12.64705882

Simplifying
x = -12.64705882