14-2(x+3)=4x-34

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Solution for 14-2(x+3)=4x-34 equation:


Simplifying
14 + -2(x + 3) = 4x + -34

Reorder the terms:
14 + -2(3 + x) = 4x + -34
14 + (3 * -2 + x * -2) = 4x + -34
14 + (-6 + -2x) = 4x + -34

Combine like terms: 14 + -6 = 8
8 + -2x = 4x + -34

Reorder the terms:
8 + -2x = -34 + 4x

Solving
8 + -2x = -34 + 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 + -2x + -4x = -34 + 4x + -4x

Combine like terms: -2x + -4x = -6x
8 + -6x = -34 + 4x + -4x

Combine like terms: 4x + -4x = 0
8 + -6x = -34 + 0
8 + -6x = -34

Add '-8' to each side of the equation.
8 + -8 + -6x = -34 + -8

Combine like terms: 8 + -8 = 0
0 + -6x = -34 + -8
-6x = -34 + -8

Combine like terms: -34 + -8 = -42
-6x = -42

Divide each side by '-6'.
x = 7

Simplifying
x = 7

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