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

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


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

Reorder the terms:
3(2 + 3x) + -2(x + -3) = x + 3
(2 * 3 + 3x * 3) + -2(x + -3) = x + 3
(6 + 9x) + -2(x + -3) = x + 3

Reorder the terms:
6 + 9x + -2(-3 + x) = x + 3
6 + 9x + (-3 * -2 + x * -2) = x + 3
6 + 9x + (6 + -2x) = x + 3

Reorder the terms:
6 + 6 + 9x + -2x = x + 3

Combine like terms: 6 + 6 = 12
12 + 9x + -2x = x + 3

Combine like terms: 9x + -2x = 7x
12 + 7x = x + 3

Reorder the terms:
12 + 7x = 3 + x

Solving
12 + 7x = 3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
12 + 7x + -1x = 3 + x + -1x

Combine like terms: 7x + -1x = 6x
12 + 6x = 3 + x + -1x

Combine like terms: x + -1x = 0
12 + 6x = 3 + 0
12 + 6x = 3

Add '-12' to each side of the equation.
12 + -12 + 6x = 3 + -12

Combine like terms: 12 + -12 = 0
0 + 6x = 3 + -12
6x = 3 + -12

Combine like terms: 3 + -12 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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