7x-5+2x=3x+10

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Solution for 7x-5+2x=3x+10 equation:


Simplifying
7x + -5 + 2x = 3x + 10

Reorder the terms:
-5 + 7x + 2x = 3x + 10

Combine like terms: 7x + 2x = 9x
-5 + 9x = 3x + 10

Reorder the terms:
-5 + 9x = 10 + 3x

Solving
-5 + 9x = 10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-5 + 9x + -3x = 10 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-5 + 6x = 10 + 3x + -3x

Combine like terms: 3x + -3x = 0
-5 + 6x = 10 + 0
-5 + 6x = 10

Add '5' to each side of the equation.
-5 + 5 + 6x = 10 + 5

Combine like terms: -5 + 5 = 0
0 + 6x = 10 + 5
6x = 10 + 5

Combine like terms: 10 + 5 = 15
6x = 15

Divide each side by '6'.
x = 2.5

Simplifying
x = 2.5

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