3x-14=2(3x-13)

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Solution for 3x-14=2(3x-13) equation:


Simplifying
3x + -14 = 2(3x + -13)

Reorder the terms:
-14 + 3x = 2(3x + -13)

Reorder the terms:
-14 + 3x = 2(-13 + 3x)
-14 + 3x = (-13 * 2 + 3x * 2)
-14 + 3x = (-26 + 6x)

Solving
-14 + 3x = -26 + 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 + 3x + -6x = -26 + 6x + -6x

Combine like terms: 3x + -6x = -3x
-14 + -3x = -26 + 6x + -6x

Combine like terms: 6x + -6x = 0
-14 + -3x = -26 + 0
-14 + -3x = -26

Add '14' to each side of the equation.
-14 + 14 + -3x = -26 + 14

Combine like terms: -14 + 14 = 0
0 + -3x = -26 + 14
-3x = -26 + 14

Combine like terms: -26 + 14 = -12
-3x = -12

Divide each side by '-3'.
x = 4

Simplifying
x = 4

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