(61-2x)=(71-3x)

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Solution for (61-2x)=(71-3x) equation:


Simplifying
(61 + -2x) = (71 + -3x)

Remove parenthesis around (61 + -2x)
61 + -2x = (71 + -3x)

Remove parenthesis around (71 + -3x)
61 + -2x = 71 + -3x

Solving
61 + -2x = 71 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
61 + -2x + 3x = 71 + -3x + 3x

Combine like terms: -2x + 3x = 1x
61 + 1x = 71 + -3x + 3x

Combine like terms: -3x + 3x = 0
61 + 1x = 71 + 0
61 + 1x = 71

Add '-61' to each side of the equation.
61 + -61 + 1x = 71 + -61

Combine like terms: 61 + -61 = 0
0 + 1x = 71 + -61
1x = 71 + -61

Combine like terms: 71 + -61 = 10
1x = 10

Divide each side by '1'.
x = 10

Simplifying
x = 10

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