8+2(x+3)=3(x+4)

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Solution for 8+2(x+3)=3(x+4) equation: 


Simplifying
8 + 2(x + 3) = 3(x + 4)

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

Combine like terms: 8 + 6 = 14
14 + 2x = 3(x + 4)

Reorder the terms:
14 + 2x = 3(4 + x)
14 + 2x = (4 * 3 + x * 3)
14 + 2x = (12 + 3x)

Solving
14 + 2x = 12 + 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.
14 + 2x + -3x = 12 + 3x + -3x

Combine like terms: 2x + -3x = -1x
14 + -1x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -1x = 12 + 0
14 + -1x = 12

Add '-14' to each side of the equation.
14 + -14 + -1x = 12 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 12 + -14
-1x = 12 + -14

Combine like terms: 12 + -14 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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