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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