5x-7=2x+3

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


Simplifying
5x + -7 = 2x + 3

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

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

Solving
-7 + 5x = 3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-7 + 5x + -2x = 3 + 2x + -2x

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

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

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

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

Combine like terms: 3 + 7 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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