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

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


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

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

Combine like terms: 2x + -3x = -1x
2 + -1x = 3(3 + 2x)
2 + -1x = (3 * 3 + 2x * 3)
2 + -1x = (9 + 6x)

Solving
2 + -1x = 9 + 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 + -1x + -6x = 9 + 6x + -6x

Combine like terms: -1x + -6x = -7x
2 + -7x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -7x = 9 + 0
2 + -7x = 9

Add '-2' to each side of the equation.
2 + -2 + -7x = 9 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 9 + -2
-7x = 9 + -2

Combine like terms: 9 + -2 = 7
-7x = 7

Divide each side by '-7'.
x = -1

Simplifying
x = -1

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