6x-4=13x-53

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Solution for 6x-4=13x-53 equation:


Simplifying
6x + -4 = 13x + -53

Reorder the terms:
-4 + 6x = 13x + -53

Reorder the terms:
-4 + 6x = -53 + 13x

Solving
-4 + 6x = -53 + 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.
-4 + 6x + -13x = -53 + 13x + -13x

Combine like terms: 6x + -13x = -7x
-4 + -7x = -53 + 13x + -13x

Combine like terms: 13x + -13x = 0
-4 + -7x = -53 + 0
-4 + -7x = -53

Add '4' to each side of the equation.
-4 + 4 + -7x = -53 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = -53 + 4
-7x = -53 + 4

Combine like terms: -53 + 4 = -49
-7x = -49

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

Simplifying
x = 7

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