6(2x+4)=8x-7

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Solution for 6(2x+4)=8x-7 equation:


Simplifying
6(2x + 4) = 8x + -7

Reorder the terms:
6(4 + 2x) = 8x + -7
(4 * 6 + 2x * 6) = 8x + -7
(24 + 12x) = 8x + -7

Reorder the terms:
24 + 12x = -7 + 8x

Solving
24 + 12x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
24 + 12x + -8x = -7 + 8x + -8x

Combine like terms: 12x + -8x = 4x
24 + 4x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
24 + 4x = -7 + 0
24 + 4x = -7

Add '-24' to each side of the equation.
24 + -24 + 4x = -7 + -24

Combine like terms: 24 + -24 = 0
0 + 4x = -7 + -24
4x = -7 + -24

Combine like terms: -7 + -24 = -31
4x = -31

Divide each side by '4'.
x = -7.75

Simplifying
x = -7.75

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