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

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


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

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

Reorder the terms:
2 + 2x = 3(-5 + 2x) + 1
2 + 2x = (-5 * 3 + 2x * 3) + 1
2 + 2x = (-15 + 6x) + 1

Reorder the terms:
2 + 2x = -15 + 1 + 6x

Combine like terms: -15 + 1 = -14
2 + 2x = -14 + 6x

Solving
2 + 2x = -14 + 6x

Solving for variable 'x'.

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

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

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

Combine like terms: 6x + -6x = 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 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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