2(x-7)=6x-13

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Solution for 2(x-7)=6x-13 equation:


Simplifying
2(x + -7) = 6x + -13

Reorder the terms:
2(-7 + x) = 6x + -13
(-7 * 2 + x * 2) = 6x + -13
(-14 + 2x) = 6x + -13

Reorder the terms:
-14 + 2x = -13 + 6x

Solving
-14 + 2x = -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.
-14 + 2x + -6x = -13 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-14 + -4x = -13 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + -4x = -13 + 0
-14 + -4x = -13

Add '14' to each side of the equation.
-14 + 14 + -4x = -13 + 14

Combine like terms: -14 + 14 = 0
0 + -4x = -13 + 14
-4x = -13 + 14

Combine like terms: -13 + 14 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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