3(2x-1)+5=2(x+7)

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Solution for 3(2x-1)+5=2(x+7) equation:


Simplifying
3(2x + -1) + 5 = 2(x + 7)

Reorder the terms:
3(-1 + 2x) + 5 = 2(x + 7)
(-1 * 3 + 2x * 3) + 5 = 2(x + 7)
(-3 + 6x) + 5 = 2(x + 7)

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

Combine like terms: -3 + 5 = 2
2 + 6x = 2(x + 7)

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

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

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

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

Add '-2' to each side of the equation.
2 + -2 + 4x = 14 + -2

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

Combine like terms: 14 + -2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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