(3x+40)=(5x+12)

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Solution for (3x+40)=(5x+12) equation:


Simplifying
(3x + 40) = (5x + 12)

Reorder the terms:
(40 + 3x) = (5x + 12)

Remove parenthesis around (40 + 3x)
40 + 3x = (5x + 12)

Reorder the terms:
40 + 3x = (12 + 5x)

Remove parenthesis around (12 + 5x)
40 + 3x = 12 + 5x

Solving
40 + 3x = 12 + 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.
40 + 3x + -5x = 12 + 5x + -5x

Combine like terms: 3x + -5x = -2x
40 + -2x = 12 + 5x + -5x

Combine like terms: 5x + -5x = 0
40 + -2x = 12 + 0
40 + -2x = 12

Add '-40' to each side of the equation.
40 + -40 + -2x = 12 + -40

Combine like terms: 40 + -40 = 0
0 + -2x = 12 + -40
-2x = 12 + -40

Combine like terms: 12 + -40 = -28
-2x = -28

Divide each side by '-2'.
x = 14

Simplifying
x = 14

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