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

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


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

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

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

Reorder the terms:
14 + 3x = -3 + x

Solving
14 + 3x = -3 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
14 + 3x + -1x = -3 + x + -1x

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

Combine like terms: x + -1x = 0
14 + 2x = -3 + 0
14 + 2x = -3

Add '-14' to each side of the equation.
14 + -14 + 2x = -3 + -14

Combine like terms: 14 + -14 = 0
0 + 2x = -3 + -14
2x = -3 + -14

Combine like terms: -3 + -14 = -17
2x = -17

Divide each side by '2'.
x = -8.5

Simplifying
x = -8.5

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