2(3x-7)=(5x-6)

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Solution for 2(3x-7)=(5x-6) equation:


Simplifying
2(3x + -7) = (5x + -6)

Reorder the terms:
2(-7 + 3x) = (5x + -6)
(-7 * 2 + 3x * 2) = (5x + -6)
(-14 + 6x) = (5x + -6)

Reorder the terms:
-14 + 6x = (-6 + 5x)

Remove parenthesis around (-6 + 5x)
-14 + 6x = -6 + 5x

Solving
-14 + 6x = -6 + 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.
-14 + 6x + -5x = -6 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-14 + 1x = -6 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 1x = -6 + 0
-14 + 1x = -6

Add '14' to each side of the equation.
-14 + 14 + 1x = -6 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = -6 + 14
1x = -6 + 14

Combine like terms: -6 + 14 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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