2x-5=40-7x

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Solution for 2x-5=40-7x equation:


Simplifying
2x + -5 = 40 + -7x

Reorder the terms:
-5 + 2x = 40 + -7x

Solving
-5 + 2x = 40 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-5 + 2x + 7x = 40 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-5 + 9x = 40 + -7x + 7x

Combine like terms: -7x + 7x = 0
-5 + 9x = 40 + 0
-5 + 9x = 40

Add '5' to each side of the equation.
-5 + 5 + 9x = 40 + 5

Combine like terms: -5 + 5 = 0
0 + 9x = 40 + 5
9x = 40 + 5

Combine like terms: 40 + 5 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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