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

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


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

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

Reorder the terms:
24 + 6x = 7 + (-2 + x)

Remove parenthesis around (-2 + x)
24 + 6x = 7 + -2 + x

Combine like terms: 7 + -2 = 5
24 + 6x = 5 + x

Solving
24 + 6x = 5 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
24 + 6x + -1x = 5 + x + -1x

Combine like terms: 6x + -1x = 5x
24 + 5x = 5 + x + -1x

Combine like terms: x + -1x = 0
24 + 5x = 5 + 0
24 + 5x = 5

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

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

Combine like terms: 5 + -24 = -19
5x = -19

Divide each side by '5'.
x = -3.8

Simplifying
x = -3.8

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