26x-13=5(5x+3)-2

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Solution for 26x-13=5(5x+3)-2 equation:


Simplifying
26x + -13 = 5(5x + 3) + -2

Reorder the terms:
-13 + 26x = 5(5x + 3) + -2

Reorder the terms:
-13 + 26x = 5(3 + 5x) + -2
-13 + 26x = (3 * 5 + 5x * 5) + -2
-13 + 26x = (15 + 25x) + -2

Reorder the terms:
-13 + 26x = 15 + -2 + 25x

Combine like terms: 15 + -2 = 13
-13 + 26x = 13 + 25x

Solving
-13 + 26x = 13 + 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.
-13 + 26x + -25x = 13 + 25x + -25x

Combine like terms: 26x + -25x = 1x
-13 + 1x = 13 + 25x + -25x

Combine like terms: 25x + -25x = 0
-13 + 1x = 13 + 0
-13 + 1x = 13

Add '13' to each side of the equation.
-13 + 13 + 1x = 13 + 13

Combine like terms: -13 + 13 = 0
0 + 1x = 13 + 13
1x = 13 + 13

Combine like terms: 13 + 13 = 26
1x = 26

Divide each side by '1'.
x = 26

Simplifying
x = 26

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