2x-5=7x+40

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


Simplifying
2x + -5 = 7x + 40

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

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 = -5x
-5 + -5x = 40 + 7x + -7x

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

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

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

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

Divide each side by '-5'.
x = -9

Simplifying
x = -9

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