2x+3x-5=5x-7x+8

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Solution for 2x+3x-5=5x-7x+8 equation:


Simplifying
2x + 3x + -5 = 5x + -7x + 8

Reorder the terms:
-5 + 2x + 3x = 5x + -7x + 8

Combine like terms: 2x + 3x = 5x
-5 + 5x = 5x + -7x + 8

Reorder the terms:
-5 + 5x = 8 + 5x + -7x

Combine like terms: 5x + -7x = -2x
-5 + 5x = 8 + -2x

Solving
-5 + 5x = 8 + -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.
-5 + 5x + 2x = 8 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-5 + 7x = 8 + -2x + 2x

Combine like terms: -2x + 2x = 0
-5 + 7x = 8 + 0
-5 + 7x = 8

Add '5' to each side of the equation.
-5 + 5 + 7x = 8 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 8 + 5
7x = 8 + 5

Combine like terms: 8 + 5 = 13
7x = 13

Divide each side by '7'.
x = 1.857142857

Simplifying
x = 1.857142857

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