6x+5=13x-23

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Solution for 6x+5=13x-23 equation:


Simplifying
6x + 5 = 13x + -23

Reorder the terms:
5 + 6x = 13x + -23

Reorder the terms:
5 + 6x = -23 + 13x

Solving
5 + 6x = -23 + 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.
5 + 6x + -13x = -23 + 13x + -13x

Combine like terms: 6x + -13x = -7x
5 + -7x = -23 + 13x + -13x

Combine like terms: 13x + -13x = 0
5 + -7x = -23 + 0
5 + -7x = -23

Add '-5' to each side of the equation.
5 + -5 + -7x = -23 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = -23 + -5
-7x = -23 + -5

Combine like terms: -23 + -5 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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