14+5x=3(-x+3)+(-11)

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Solution for 14+5x=3(-x+3)+(-11) equation:


Simplifying
14 + 5x = 3(-1x + 3) + (-11)

Reorder the terms:
14 + 5x = 3(3 + -1x) + (-11)
14 + 5x = (3 * 3 + -1x * 3) + (-11)
14 + 5x = (9 + -3x) + (-11)
14 + 5x = 9 + -3x + -11

Reorder the terms:
14 + 5x = 9 + -11 + -3x

Combine like terms: 9 + -11 = -2
14 + 5x = -2 + -3x

Solving
14 + 5x = -2 + -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 + 5x + 3x = -2 + -3x + 3x

Combine like terms: 5x + 3x = 8x
14 + 8x = -2 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 8x = -2 + 0
14 + 8x = -2

Add '-14' to each side of the equation.
14 + -14 + 8x = -2 + -14

Combine like terms: 14 + -14 = 0
0 + 8x = -2 + -14
8x = -2 + -14

Combine like terms: -2 + -14 = -16
8x = -16

Divide each side by '8'.
x = -2

Simplifying
x = -2

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