26x-9=5(5x+3)-6

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Solution for 26x-9=5(5x+3)-6 equation:


Simplifying
26x + -9 = 5(5x + 3) + -6

Reorder the terms:
-9 + 26x = 5(5x + 3) + -6

Reorder the terms:
-9 + 26x = 5(3 + 5x) + -6
-9 + 26x = (3 * 5 + 5x * 5) + -6
-9 + 26x = (15 + 25x) + -6

Reorder the terms:
-9 + 26x = 15 + -6 + 25x

Combine like terms: 15 + -6 = 9
-9 + 26x = 9 + 25x

Solving
-9 + 26x = 9 + 25x

Solving for variable 'x'.

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

Add '-25x' to each side of the equation.
-9 + 26x + -25x = 9 + 25x + -25x

Combine like terms: 26x + -25x = 1x
-9 + 1x = 9 + 25x + -25x

Combine like terms: 25x + -25x = 0
-9 + 1x = 9 + 0
-9 + 1x = 9

Add '9' to each side of the equation.
-9 + 9 + 1x = 9 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = 9 + 9
1x = 9 + 9

Combine like terms: 9 + 9 = 18
1x = 18

Divide each side by '1'.
x = 18

Simplifying
x = 18

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