(x+3)*3+2=4x+2

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Solution for (x+3)*3+2=4x+2 equation:


Simplifying
(x + 3) * 3 + 2 = 4x + 2

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

Reorder the terms for easier multiplication:
3(3 + x) + 2 = 4x + 2
(3 * 3 + x * 3) + 2 = 4x + 2
(9 + 3x) + 2 = 4x + 2

Reorder the terms:
9 + 2 + 3x = 4x + 2

Combine like terms: 9 + 2 = 11
11 + 3x = 4x + 2

Reorder the terms:
11 + 3x = 2 + 4x

Solving
11 + 3x = 2 + 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.
11 + 3x + -4x = 2 + 4x + -4x

Combine like terms: 3x + -4x = -1x
11 + -1x = 2 + 4x + -4x

Combine like terms: 4x + -4x = 0
11 + -1x = 2 + 0
11 + -1x = 2

Add '-11' to each side of the equation.
11 + -11 + -1x = 2 + -11

Combine like terms: 11 + -11 = 0
0 + -1x = 2 + -11
-1x = 2 + -11

Combine like terms: 2 + -11 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9

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