19-(x+7)=5x-6

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Solution for 19-(x+7)=5x-6 equation:


Simplifying
19 + -1(x + 7) = 5x + -6

Reorder the terms:
19 + -1(7 + x) = 5x + -6
19 + (7 * -1 + x * -1) = 5x + -6
19 + (-7 + -1x) = 5x + -6

Combine like terms: 19 + -7 = 12
12 + -1x = 5x + -6

Reorder the terms:
12 + -1x = -6 + 5x

Solving
12 + -1x = -6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
12 + -1x + -5x = -6 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
12 + -6x = -6 + 0
12 + -6x = -6

Add '-12' to each side of the equation.
12 + -12 + -6x = -6 + -12

Combine like terms: 12 + -12 = 0
0 + -6x = -6 + -12
-6x = -6 + -12

Combine like terms: -6 + -12 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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