(5x+13)+6=7x-25

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Solution for (5x+13)+6=7x-25 equation:


Simplifying
(5x + 13) + 6 = 7x + -25

Reorder the terms:
(13 + 5x) + 6 = 7x + -25

Remove parenthesis around (13 + 5x)
13 + 5x + 6 = 7x + -25

Reorder the terms:
13 + 6 + 5x = 7x + -25

Combine like terms: 13 + 6 = 19
19 + 5x = 7x + -25

Reorder the terms:
19 + 5x = -25 + 7x

Solving
19 + 5x = -25 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
19 + 5x + -7x = -25 + 7x + -7x

Combine like terms: 5x + -7x = -2x
19 + -2x = -25 + 7x + -7x

Combine like terms: 7x + -7x = 0
19 + -2x = -25 + 0
19 + -2x = -25

Add '-19' to each side of the equation.
19 + -19 + -2x = -25 + -19

Combine like terms: 19 + -19 = 0
0 + -2x = -25 + -19
-2x = -25 + -19

Combine like terms: -25 + -19 = -44
-2x = -44

Divide each side by '-2'.
x = 22

Simplifying
x = 22

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