6(x+4)=14x-4

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


Simplifying
6(x + 4) = 14x + -4

Reorder the terms:
6(4 + x) = 14x + -4
(4 * 6 + x * 6) = 14x + -4
(24 + 6x) = 14x + -4

Reorder the terms:
24 + 6x = -4 + 14x

Solving
24 + 6x = -4 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
24 + 6x + -14x = -4 + 14x + -14x

Combine like terms: 6x + -14x = -8x
24 + -8x = -4 + 14x + -14x

Combine like terms: 14x + -14x = 0
24 + -8x = -4 + 0
24 + -8x = -4

Add '-24' to each side of the equation.
24 + -24 + -8x = -4 + -24

Combine like terms: 24 + -24 = 0
0 + -8x = -4 + -24
-8x = -4 + -24

Combine like terms: -4 + -24 = -28
-8x = -28

Divide each side by '-8'.
x = 3.5

Simplifying
x = 3.5

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