(2x+5)+31=(4x-10)

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Solution for (2x+5)+31=(4x-10) equation:


Simplifying
(2x + 5) + 31 = (4x + -10)

Reorder the terms:
(5 + 2x) + 31 = (4x + -10)

Remove parenthesis around (5 + 2x)
5 + 2x + 31 = (4x + -10)

Reorder the terms:
5 + 31 + 2x = (4x + -10)

Combine like terms: 5 + 31 = 36
36 + 2x = (4x + -10)

Reorder the terms:
36 + 2x = (-10 + 4x)

Remove parenthesis around (-10 + 4x)
36 + 2x = -10 + 4x

Solving
36 + 2x = -10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
36 + 2x + -4x = -10 + 4x + -4x

Combine like terms: 2x + -4x = -2x
36 + -2x = -10 + 4x + -4x

Combine like terms: 4x + -4x = 0
36 + -2x = -10 + 0
36 + -2x = -10

Add '-36' to each side of the equation.
36 + -36 + -2x = -10 + -36

Combine like terms: 36 + -36 = 0
0 + -2x = -10 + -36
-2x = -10 + -36

Combine like terms: -10 + -36 = -46
-2x = -46

Divide each side by '-2'.
x = 23

Simplifying
x = 23

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