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

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


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

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

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

Combine like terms: 3x + -7x = -4x
7 + 2x = -5 + -4x

Solving
7 + 2x = -5 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
7 + 2x + 4x = -5 + -4x + 4x

Combine like terms: 2x + 4x = 6x
7 + 6x = -5 + -4x + 4x

Combine like terms: -4x + 4x = 0
7 + 6x = -5 + 0
7 + 6x = -5

Add '-7' to each side of the equation.
7 + -7 + 6x = -5 + -7

Combine like terms: 7 + -7 = 0
0 + 6x = -5 + -7
6x = -5 + -7

Combine like terms: -5 + -7 = -12
6x = -12

Divide each side by '6'.
x = -2

Simplifying
x = -2

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