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

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


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

Reorder the terms:
-2(-6 + x) = 5x + -13
(-6 * -2 + x * -2) = 5x + -13
(12 + -2x) = 5x + -13

Reorder the terms:
12 + -2x = -13 + 5x

Solving
12 + -2x = -13 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -2x + -5x = -13 + 5x + -5x

Combine like terms: -2x + -5x = -7x
12 + -7x = -13 + 5x + -5x

Combine like terms: 5x + -5x = 0
12 + -7x = -13 + 0
12 + -7x = -13

Add '-12' to each side of the equation.
12 + -12 + -7x = -13 + -12

Combine like terms: 12 + -12 = 0
0 + -7x = -13 + -12
-7x = -13 + -12

Combine like terms: -13 + -12 = -25
-7x = -25

Divide each side by '-7'.
x = 3.571428571

Simplifying
x = 3.571428571

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