5(4+x)-6(x+2)=12

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Solution for 5(4+x)-6(x+2)=12 equation: 


Simplifying
5(4 + x) + -6(x + 2) = 12
(4 * 5 + x * 5) + -6(x + 2) = 12
(20 + 5x) + -6(x + 2) = 12

Reorder the terms:
20 + 5x + -6(2 + x) = 12
20 + 5x + (2 * -6 + x * -6) = 12
20 + 5x + (-12 + -6x) = 12

Reorder the terms:
20 + -12 + 5x + -6x = 12

Combine like terms: 20 + -12 = 8
8 + 5x + -6x = 12

Combine like terms: 5x + -6x = -1x
8 + -1x = 12

Solving
8 + -1x = 12

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 12 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 12 + -8
-1x = 12 + -8

Combine like terms: 12 + -8 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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