3(3+1x)+9=2(1x+4)+6

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Solution for 3(3+1x)+9=2(1x+4)+6 equation:


Simplifying
3(3 + 1x) + 9 = 2(1x + 4) + 6
(3 * 3 + 1x * 3) + 9 = 2(1x + 4) + 6
(9 + 3x) + 9 = 2(1x + 4) + 6

Reorder the terms:
9 + 9 + 3x = 2(1x + 4) + 6

Combine like terms: 9 + 9 = 18
18 + 3x = 2(1x + 4) + 6

Reorder the terms:
18 + 3x = 2(4 + 1x) + 6
18 + 3x = (4 * 2 + 1x * 2) + 6
18 + 3x = (8 + 2x) + 6

Reorder the terms:
18 + 3x = 8 + 6 + 2x

Combine like terms: 8 + 6 = 14
18 + 3x = 14 + 2x

Solving
18 + 3x = 14 + 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.
18 + 3x + -2x = 14 + 2x + -2x

Combine like terms: 3x + -2x = 1x
18 + 1x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
18 + 1x = 14 + 0
18 + 1x = 14

Add '-18' to each side of the equation.
18 + -18 + 1x = 14 + -18

Combine like terms: 18 + -18 = 0
0 + 1x = 14 + -18
1x = 14 + -18

Combine like terms: 14 + -18 = -4
1x = -4

Divide each side by '1'.
x = -4

Simplifying
x = -4

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