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

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


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

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

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

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

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

Solving
6 + 2x = -5 + -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.
6 + 2x + 2x = -5 + -2x + 2x

Combine like terms: 2x + 2x = 4x
6 + 4x = -5 + -2x + 2x

Combine like terms: -2x + 2x = 0
6 + 4x = -5 + 0
6 + 4x = -5

Add '-6' to each side of the equation.
6 + -6 + 4x = -5 + -6

Combine like terms: 6 + -6 = 0
0 + 4x = -5 + -6
4x = -5 + -6

Combine like terms: -5 + -6 = -11
4x = -11

Divide each side by '4'.
x = -2.75

Simplifying
x = -2.75

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