3x+5=7x-7

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


Simplifying
3x + 5 = 7x + -7

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

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

Solving
5 + 3x = -7 + 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 + 3x + -7x = -7 + 7x + -7x

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

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

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

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

Combine like terms: -7 + -5 = -12
-4x = -12

Divide each side by '-4'.
x = 3

Simplifying
x = 3

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