3(2x-1)+9=2(x+7)

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Solution for 3(2x-1)+9=2(x+7) equation:


Simplifying
3(2x + -1) + 9 = 2(x + 7)

Reorder the terms:
3(-1 + 2x) + 9 = 2(x + 7)
(-1 * 3 + 2x * 3) + 9 = 2(x + 7)
(-3 + 6x) + 9 = 2(x + 7)

Reorder the terms:
-3 + 9 + 6x = 2(x + 7)

Combine like terms: -3 + 9 = 6
6 + 6x = 2(x + 7)

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

Solving
6 + 6x = 14 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
6 + 6x + -2x = 14 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
6 + 4x = 14 + 0
6 + 4x = 14

Add '-6' to each side of the equation.
6 + -6 + 4x = 14 + -6

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

Combine like terms: 14 + -6 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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