(78-2x)=(87-3x)

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Solution for (78-2x)=(87-3x) equation:


Simplifying
(78 + -2x) = (87 + -3x)

Remove parenthesis around (78 + -2x)
78 + -2x = (87 + -3x)

Remove parenthesis around (87 + -3x)
78 + -2x = 87 + -3x

Solving
78 + -2x = 87 + -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.
78 + -2x + 3x = 87 + -3x + 3x

Combine like terms: -2x + 3x = 1x
78 + 1x = 87 + -3x + 3x

Combine like terms: -3x + 3x = 0
78 + 1x = 87 + 0
78 + 1x = 87

Add '-78' to each side of the equation.
78 + -78 + 1x = 87 + -78

Combine like terms: 78 + -78 = 0
0 + 1x = 87 + -78
1x = 87 + -78

Combine like terms: 87 + -78 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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