26x-8=5(5x+5)-17

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Solution for 26x-8=5(5x+5)-17 equation:


Simplifying
26x + -8 = 5(5x + 5) + -17

Reorder the terms:
-8 + 26x = 5(5x + 5) + -17

Reorder the terms:
-8 + 26x = 5(5 + 5x) + -17
-8 + 26x = (5 * 5 + 5x * 5) + -17
-8 + 26x = (25 + 25x) + -17

Reorder the terms:
-8 + 26x = 25 + -17 + 25x

Combine like terms: 25 + -17 = 8
-8 + 26x = 8 + 25x

Solving
-8 + 26x = 8 + 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.
-8 + 26x + -25x = 8 + 25x + -25x

Combine like terms: 26x + -25x = 1x
-8 + 1x = 8 + 25x + -25x

Combine like terms: 25x + -25x = 0
-8 + 1x = 8 + 0
-8 + 1x = 8

Add '8' to each side of the equation.
-8 + 8 + 1x = 8 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 8 + 8
1x = 8 + 8

Combine like terms: 8 + 8 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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