6x-59=4x-13

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Solution for 6x-59=4x-13 equation:


Simplifying
6x + -59 = 4x + -13

Reorder the terms:
-59 + 6x = 4x + -13

Reorder the terms:
-59 + 6x = -13 + 4x

Solving
-59 + 6x = -13 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-59 + 6x + -4x = -13 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-59 + 2x = -13 + 4x + -4x

Combine like terms: 4x + -4x = 0
-59 + 2x = -13 + 0
-59 + 2x = -13

Add '59' to each side of the equation.
-59 + 59 + 2x = -13 + 59

Combine like terms: -59 + 59 = 0
0 + 2x = -13 + 59
2x = -13 + 59

Combine like terms: -13 + 59 = 46
2x = 46

Divide each side by '2'.
x = 23

Simplifying
x = 23

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