6(x+4)=4x-5

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Solution for 6(x+4)=4x-5 equation:


Simplifying
6(x + 4) = 4x + -5

Reorder the terms:
6(4 + x) = 4x + -5
(4 * 6 + x * 6) = 4x + -5
(24 + 6x) = 4x + -5

Reorder the terms:
24 + 6x = -5 + 4x

Solving
24 + 6x = -5 + 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.
24 + 6x + -4x = -5 + 4x + -4x

Combine like terms: 6x + -4x = 2x
24 + 2x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 2x = -5 + 0
24 + 2x = -5

Add '-24' to each side of the equation.
24 + -24 + 2x = -5 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = -5 + -24
2x = -5 + -24

Combine like terms: -5 + -24 = -29
2x = -29

Divide each side by '2'.
x = -14.5

Simplifying
x = -14.5

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