6x+169=13x-6

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Solution for 6x+169=13x-6 equation:


Simplifying
6x + 169 = 13x + -6

Reorder the terms:
169 + 6x = 13x + -6

Reorder the terms:
169 + 6x = -6 + 13x

Solving
169 + 6x = -6 + 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.
169 + 6x + -13x = -6 + 13x + -13x

Combine like terms: 6x + -13x = -7x
169 + -7x = -6 + 13x + -13x

Combine like terms: 13x + -13x = 0
169 + -7x = -6 + 0
169 + -7x = -6

Add '-169' to each side of the equation.
169 + -169 + -7x = -6 + -169

Combine like terms: 169 + -169 = 0
0 + -7x = -6 + -169
-7x = -6 + -169

Combine like terms: -6 + -169 = -175
-7x = -175

Divide each side by '-7'.
x = 25

Simplifying
x = 25

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