-5(x-3)-7=-4x-19

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Solution for -5(x-3)-7=-4x-19 equation:


Simplifying
-5(x + -3) + -7 = -4x + -19

Reorder the terms:
-5(-3 + x) + -7 = -4x + -19
(-3 * -5 + x * -5) + -7 = -4x + -19
(15 + -5x) + -7 = -4x + -19

Reorder the terms:
15 + -7 + -5x = -4x + -19

Combine like terms: 15 + -7 = 8
8 + -5x = -4x + -19

Reorder the terms:
8 + -5x = -19 + -4x

Solving
8 + -5x = -19 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
8 + -5x + 4x = -19 + -4x + 4x

Combine like terms: -5x + 4x = -1x
8 + -1x = -19 + -4x + 4x

Combine like terms: -4x + 4x = 0
8 + -1x = -19 + 0
8 + -1x = -19

Add '-8' to each side of the equation.
8 + -8 + -1x = -19 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = -19 + -8
-1x = -19 + -8

Combine like terms: -19 + -8 = -27
-1x = -27

Divide each side by '-1'.
x = 27

Simplifying
x = 27

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