6x+17=13x-12

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Solution for 6x+17=13x-12 equation:


Simplifying
6x + 17 = 13x + -12

Reorder the terms:
17 + 6x = 13x + -12

Reorder the terms:
17 + 6x = -12 + 13x

Solving
17 + 6x = -12 + 13x

Solving for variable 'x'.

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

Add '-13x' to each side of the equation.
17 + 6x + -13x = -12 + 13x + -13x

Combine like terms: 6x + -13x = -7x
17 + -7x = -12 + 13x + -13x

Combine like terms: 13x + -13x = 0
17 + -7x = -12 + 0
17 + -7x = -12

Add '-17' to each side of the equation.
17 + -17 + -7x = -12 + -17

Combine like terms: 17 + -17 = 0
0 + -7x = -12 + -17
-7x = -12 + -17

Combine like terms: -12 + -17 = -29
-7x = -29

Divide each side by '-7'.
x = 4.142857143

Simplifying
x = 4.142857143

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