5x-7=-2x+10

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Solution for 5x-7=-2x+10 equation:


Simplifying
5x + -7 = -2x + 10

Reorder the terms:
-7 + 5x = -2x + 10

Reorder the terms:
-7 + 5x = 10 + -2x

Solving
-7 + 5x = 10 + -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 = 10 + -2x + 2x

Combine like terms: 5x + 2x = 7x
-7 + 7x = 10 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 7x = 10 + 0
-7 + 7x = 10

Add '7' to each side of the equation.
-7 + 7 + 7x = 10 + 7

Combine like terms: -7 + 7 = 0
0 + 7x = 10 + 7
7x = 10 + 7

Combine like terms: 10 + 7 = 17
7x = 17

Divide each side by '7'.
x = 2.428571429

Simplifying
x = 2.428571429

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