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

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


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

Reorder the terms:
5 + 2(2 + 3x) = x + 3(x + 1)
5 + (2 * 2 + 3x * 2) = x + 3(x + 1)
5 + (4 + 6x) = x + 3(x + 1)

Combine like terms: 5 + 4 = 9
9 + 6x = x + 3(x + 1)

Reorder the terms:
9 + 6x = x + 3(1 + x)
9 + 6x = x + (1 * 3 + x * 3)
9 + 6x = x + (3 + 3x)

Reorder the terms:
9 + 6x = 3 + x + 3x

Combine like terms: x + 3x = 4x
9 + 6x = 3 + 4x

Solving
9 + 6x = 3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
9 + 6x + -4x = 3 + 4x + -4x

Combine like terms: 6x + -4x = 2x
9 + 2x = 3 + 4x + -4x

Combine like terms: 4x + -4x = 0
9 + 2x = 3 + 0
9 + 2x = 3

Add '-9' to each side of the equation.
9 + -9 + 2x = 3 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 3 + -9
2x = 3 + -9

Combine like terms: 3 + -9 = -6
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

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