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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