7(x-3)+5=x-19

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Solution for 7(x-3)+5=x-19 equation:


Simplifying
7(x + -3) + 5 = x + -19

Reorder the terms:
7(-3 + x) + 5 = x + -19
(-3 * 7 + x * 7) + 5 = x + -19
(-21 + 7x) + 5 = x + -19

Reorder the terms:
-21 + 5 + 7x = x + -19

Combine like terms: -21 + 5 = -16
-16 + 7x = x + -19

Reorder the terms:
-16 + 7x = -19 + x

Solving
-16 + 7x = -19 + 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.
-16 + 7x + -1x = -19 + x + -1x

Combine like terms: 7x + -1x = 6x
-16 + 6x = -19 + x + -1x

Combine like terms: x + -1x = 0
-16 + 6x = -19 + 0
-16 + 6x = -19

Add '16' to each side of the equation.
-16 + 16 + 6x = -19 + 16

Combine like terms: -16 + 16 = 0
0 + 6x = -19 + 16
6x = -19 + 16

Combine like terms: -19 + 16 = -3
6x = -3

Divide each side by '6'.
x = -0.5

Simplifying
x = -0.5

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