5x-3=7x+2

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Solution for 5x-3=7x+2 equation:


Simplifying
5x + -3 = 7x + 2

Reorder the terms:
-3 + 5x = 7x + 2

Reorder the terms:
-3 + 5x = 2 + 7x

Solving
-3 + 5x = 2 + 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 = 2 + 7x + -7x

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

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

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

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

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