3(2x+1)-5=14-(x+14)

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Solution for 3(2x+1)-5=14-(x+14) equation:


Simplifying
3(2x + 1) + -5 = 14 + -1(x + 14)

Reorder the terms:
3(1 + 2x) + -5 = 14 + -1(x + 14)
(1 * 3 + 2x * 3) + -5 = 14 + -1(x + 14)
(3 + 6x) + -5 = 14 + -1(x + 14)

Reorder the terms:
3 + -5 + 6x = 14 + -1(x + 14)

Combine like terms: 3 + -5 = -2
-2 + 6x = 14 + -1(x + 14)

Reorder the terms:
-2 + 6x = 14 + -1(14 + x)
-2 + 6x = 14 + (14 * -1 + x * -1)
-2 + 6x = 14 + (-14 + -1x)

Combine like terms: 14 + -14 = 0
-2 + 6x = 0 + -1x
-2 + 6x = -1x

Solving
-2 + 6x = -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-2 + 6x + x = -1x + x

Combine like terms: 6x + x = 7x
-2 + 7x = -1x + x

Combine like terms: -1x + x = 0
-2 + 7x = 0

Add '2' to each side of the equation.
-2 + 2 + 7x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7x = 0 + 2
7x = 0 + 2

Combine like terms: 0 + 2 = 2
7x = 2

Divide each side by '7'.
x = 0.2857142857

Simplifying
x = 0.2857142857

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