7x+5=3x-17

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Solution for 7x+5=3x-17 equation:


Simplifying
7x + 5 = 3x + -17

Reorder the terms:
5 + 7x = 3x + -17

Reorder the terms:
5 + 7x = -17 + 3x

Solving
5 + 7x = -17 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
5 + 7x + -3x = -17 + 3x + -3x

Combine like terms: 7x + -3x = 4x
5 + 4x = -17 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + 4x = -17 + 0
5 + 4x = -17

Add '-5' to each side of the equation.
5 + -5 + 4x = -17 + -5

Combine like terms: 5 + -5 = 0
0 + 4x = -17 + -5
4x = -17 + -5

Combine like terms: -17 + -5 = -22
4x = -22

Divide each side by '4'.
x = -5.5

Simplifying
x = -5.5

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