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

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Solution for 19-5x=-6(x-1)+7 equation:


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

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

Reorder the terms:
19 + -5x = 6 + 7 + -6x

Combine like terms: 6 + 7 = 13
19 + -5x = 13 + -6x

Solving
19 + -5x = 13 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
19 + -5x + 6x = 13 + -6x + 6x

Combine like terms: -5x + 6x = 1x
19 + 1x = 13 + -6x + 6x

Combine like terms: -6x + 6x = 0
19 + 1x = 13 + 0
19 + 1x = 13

Add '-19' to each side of the equation.
19 + -19 + 1x = 13 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = 13 + -19
1x = 13 + -19

Combine like terms: 13 + -19 = -6
1x = -6

Divide each side by '1'.
x = -6

Simplifying
x = -6

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