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

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


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

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

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

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

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

Combine like terms: -6 + 1 = -5
3 + 5x = -5 + 3x

Solving
3 + 5x = -5 + 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.
3 + 5x + -3x = -5 + 3x + -3x

Combine like terms: 5x + -3x = 2x
3 + 2x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
3 + 2x = -5 + 0
3 + 2x = -5

Add '-3' to each side of the equation.
3 + -3 + 2x = -5 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -5 + -3
2x = -5 + -3

Combine like terms: -5 + -3 = -8
2x = -8

Divide each side by '2'.
x = -4

Simplifying
x = -4

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