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

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


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

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

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

Combine like terms: 6 + 2 = 8
8 + 3x = 4(x + -3) + 3

Reorder the terms:
8 + 3x = 4(-3 + x) + 3
8 + 3x = (-3 * 4 + x * 4) + 3
8 + 3x = (-12 + 4x) + 3

Reorder the terms:
8 + 3x = -12 + 3 + 4x

Combine like terms: -12 + 3 = -9
8 + 3x = -9 + 4x

Solving
8 + 3x = -9 + 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.
8 + 3x + -4x = -9 + 4x + -4x

Combine like terms: 3x + -4x = -1x
8 + -1x = -9 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -1x = -9 + 0
8 + -1x = -9

Add '-8' to each side of the equation.
8 + -8 + -1x = -9 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -9 + -8
-1x = -9 + -8

Combine like terms: -9 + -8 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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