(x+1)*2=(x*3)-15

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Solution for (x+1)*2=(x*3)-15 equation: 


Simplifying
(x + 1) * 2 = (x * 3) + -15

Reorder the terms:
(1 + x) * 2 = (x * 3) + -15

Reorder the terms for easier multiplication:
2(1 + x) = (x * 3) + -15
(1 * 2 + x * 2) = (x * 3) + -15
(2 + 2x) = (x * 3) + -15

Reorder the terms for easier multiplication:
2 + 2x = (3x) + -15

Reorder the terms:
2 + 2x = -15 + (3x)

Solving
2 + 2x = -15 + (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.
2 + 2x + (-3x) = -15 + (3x) + (-3x)

Combine like terms: 2x + (-3x) = -1x
2 + -1x = -15 + (3x) + (-3x)

Combine like terms: (3x) + (-3x) = 0
2 + -1x = -15 + 0
2 + -1x = -15

Add '-2' to each side of the equation.
2 + -2 + -1x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -15 + -2
-1x = -15 + -2

Combine like terms: -15 + -2 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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