3x-6x+4=4x-17

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Solution for 3x-6x+4=4x-17 equation:


Simplifying
3x + -6x + 4 = 4x + -17

Reorder the terms:
4 + 3x + -6x = 4x + -17

Combine like terms: 3x + -6x = -3x
4 + -3x = 4x + -17

Reorder the terms:
4 + -3x = -17 + 4x

Solving
4 + -3x = -17 + 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.
4 + -3x + -4x = -17 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
4 + -7x = -17 + 0
4 + -7x = -17

Add '-4' to each side of the equation.
4 + -4 + -7x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -17 + -4
-7x = -17 + -4

Combine like terms: -17 + -4 = -21
-7x = -21

Divide each side by '-7'.
x = 3

Simplifying
x = 3

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