2x-3=5x-7

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


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

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

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

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

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

Combine like terms: 5x + -5x = 0
-3 + -3x = -7 + 0
-3 + -3x = -7

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

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

Combine like terms: -7 + 3 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333

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