3(2x-5)-x=6x-13

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Solution for 3(2x-5)-x=6x-13 equation:


Simplifying
3(2x + -5) + -1x = 6x + -13

Reorder the terms:
3(-5 + 2x) + -1x = 6x + -13
(-5 * 3 + 2x * 3) + -1x = 6x + -13
(-15 + 6x) + -1x = 6x + -13

Combine like terms: 6x + -1x = 5x
-15 + 5x = 6x + -13

Reorder the terms:
-15 + 5x = -13 + 6x

Solving
-15 + 5x = -13 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-15 + 5x + -6x = -13 + 6x + -6x

Combine like terms: 5x + -6x = -1x
-15 + -1x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-15 + -1x = -13 + 0
-15 + -1x = -13

Add '15' to each side of the equation.
-15 + 15 + -1x = -13 + 15

Combine like terms: -15 + 15 = 0
0 + -1x = -13 + 15
-1x = -13 + 15

Combine like terms: -13 + 15 = 2
-1x = 2

Divide each side by '-1'.
x = -2

Simplifying
x = -2

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