14+6x=3(-x+4)-34

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Solution for 14+6x=3(-x+4)-34 equation:


Simplifying
14 + 6x = 3(-1x + 4) + -34

Reorder the terms:
14 + 6x = 3(4 + -1x) + -34
14 + 6x = (4 * 3 + -1x * 3) + -34
14 + 6x = (12 + -3x) + -34

Reorder the terms:
14 + 6x = 12 + -34 + -3x

Combine like terms: 12 + -34 = -22
14 + 6x = -22 + -3x

Solving
14 + 6x = -22 + -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 + 6x + 3x = -22 + -3x + 3x

Combine like terms: 6x + 3x = 9x
14 + 9x = -22 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 9x = -22 + 0
14 + 9x = -22

Add '-14' to each side of the equation.
14 + -14 + 9x = -22 + -14

Combine like terms: 14 + -14 = 0
0 + 9x = -22 + -14
9x = -22 + -14

Combine like terms: -22 + -14 = -36
9x = -36

Divide each side by '9'.
x = -4

Simplifying
x = -4

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