6x-(4x-5)=13

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Solution for 6x-(4x-5)=13 equation:


Simplifying
6x + -1(4x + -5) = 13

Reorder the terms:
6x + -1(-5 + 4x) = 13
6x + (-5 * -1 + 4x * -1) = 13
6x + (5 + -4x) = 13

Reorder the terms:
5 + 6x + -4x = 13

Combine like terms: 6x + -4x = 2x
5 + 2x = 13

Solving
5 + 2x = 13

Solving for variable 'x'.

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

Add '-5' to each side of the equation.
5 + -5 + 2x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 2x = 13 + -5
2x = 13 + -5

Combine like terms: 13 + -5 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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