5x-3=7x+12

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Solution for 5x-3=7x+12 equation:


Simplifying
5x + -3 = 7x + 12

Reorder the terms:
-3 + 5x = 7x + 12

Reorder the terms:
-3 + 5x = 12 + 7x

Solving
-3 + 5x = 12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-3 + 5x + -7x = 12 + 7x + -7x

Combine like terms: 5x + -7x = -2x
-3 + -2x = 12 + 7x + -7x

Combine like terms: 7x + -7x = 0
-3 + -2x = 12 + 0
-3 + -2x = 12

Add '3' to each side of the equation.
-3 + 3 + -2x = 12 + 3

Combine like terms: -3 + 3 = 0
0 + -2x = 12 + 3
-2x = 12 + 3

Combine like terms: 12 + 3 = 15
-2x = 15

Divide each side by '-2'.
x = -7.5

Simplifying
x = -7.5

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