6(2x-1)=3(x+7)

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Solution for 6(2x-1)=3(x+7) equation:


Simplifying
6(2x + -1) = 3(x + 7)

Reorder the terms:
6(-1 + 2x) = 3(x + 7)
(-1 * 6 + 2x * 6) = 3(x + 7)
(-6 + 12x) = 3(x + 7)

Reorder the terms:
-6 + 12x = 3(7 + x)
-6 + 12x = (7 * 3 + x * 3)
-6 + 12x = (21 + 3x)

Solving
-6 + 12x = 21 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-6 + 12x + -3x = 21 + 3x + -3x

Combine like terms: 12x + -3x = 9x
-6 + 9x = 21 + 3x + -3x

Combine like terms: 3x + -3x = 0
-6 + 9x = 21 + 0
-6 + 9x = 21

Add '6' to each side of the equation.
-6 + 6 + 9x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + 9x = 21 + 6
9x = 21 + 6

Combine like terms: 21 + 6 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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