6x-3=13x-45

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Solution for 6x-3=13x-45 equation:


Simplifying
6x + -3 = 13x + -45

Reorder the terms:
-3 + 6x = 13x + -45

Reorder the terms:
-3 + 6x = -45 + 13x

Solving
-3 + 6x = -45 + 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.
-3 + 6x + -13x = -45 + 13x + -13x

Combine like terms: 6x + -13x = -7x
-3 + -7x = -45 + 13x + -13x

Combine like terms: 13x + -13x = 0
-3 + -7x = -45 + 0
-3 + -7x = -45

Add '3' to each side of the equation.
-3 + 3 + -7x = -45 + 3

Combine like terms: -3 + 3 = 0
0 + -7x = -45 + 3
-7x = -45 + 3

Combine like terms: -45 + 3 = -42
-7x = -42

Divide each side by '-7'.
x = 6

Simplifying
x = 6

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