((2x-6)+(x+3))*100=2600

Solution for ((2x-6)+(x+3))*100=2600 equation:

Simplifying
((2x + -6) + (x + 3)) * 100 = 2600

Reorder the terms:
((-6 + 2x) + (x + 3)) * 100 = 2600

Remove parenthesis around (-6 + 2x)
(-6 + 2x + (x + 3)) * 100 = 2600

Reorder the terms:
(-6 + 2x + (3 + x)) * 100 = 2600

Remove parenthesis around (3 + x)
(-6 + 2x + 3 + x) * 100 = 2600

Reorder the terms:
(-6 + 3 + 2x + x) * 100 = 2600

Combine like terms: -6 + 3 = -3
(-3 + 2x + x) * 100 = 2600

Combine like terms: 2x + x = 3x
(-3 + 3x) * 100 = 2600

Reorder the terms for easier multiplication:
100(-3 + 3x) = 2600
(-3 * 100 + 3x * 100) = 2600
(-300 + 300x) = 2600

Solving
-300 + 300x = 2600

Solving for variable 'x'.

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

Add '300' to each side of the equation.
-300 + 300 + 300x = 2600 + 300

Combine like terms: -300 + 300 = 0
0 + 300x = 2600 + 300
300x = 2600 + 300

Combine like terms: 2600 + 300 = 2900
300x = 2900

Divide each side by '300'.
x = 9.666666667

Simplifying
x = 9.666666667