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

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


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

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

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

Reorder the terms:
9 + 2x = 3(-4 + x) + 2
9 + 2x = (-4 * 3 + x * 3) + 2
9 + 2x = (-12 + 3x) + 2

Reorder the terms:
9 + 2x = -12 + 2 + 3x

Combine like terms: -12 + 2 = -10
9 + 2x = -10 + 3x

Solving
9 + 2x = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
9 + 2x + -3x = -10 + 3x + -3x

Combine like terms: 2x + -3x = -1x
9 + -1x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
9 + -1x = -10 + 0
9 + -1x = -10

Add '-9' to each side of the equation.
9 + -9 + -1x = -10 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = -10 + -9
-1x = -10 + -9

Combine like terms: -10 + -9 = -19
-1x = -19

Divide each side by '-1'.
x = 19

Simplifying
x = 19

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