(10x+46)=(5x+71)

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Solution for (10x+46)=(5x+71) equation:


Simplifying
(10x + 46) = (5x + 71)

Reorder the terms:
(46 + 10x) = (5x + 71)

Remove parenthesis around (46 + 10x)
46 + 10x = (5x + 71)

Reorder the terms:
46 + 10x = (71 + 5x)

Remove parenthesis around (71 + 5x)
46 + 10x = 71 + 5x

Solving
46 + 10x = 71 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
46 + 10x + -5x = 71 + 5x + -5x

Combine like terms: 10x + -5x = 5x
46 + 5x = 71 + 5x + -5x

Combine like terms: 5x + -5x = 0
46 + 5x = 71 + 0
46 + 5x = 71

Add '-46' to each side of the equation.
46 + -46 + 5x = 71 + -46

Combine like terms: 46 + -46 = 0
0 + 5x = 71 + -46
5x = 71 + -46

Combine like terms: 71 + -46 = 25
5x = 25

Divide each side by '5'.
x = 5

Simplifying
x = 5

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