2x+19=-4(x-7)-8

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Solution for 2x+19=-4(x-7)-8 equation:


Simplifying
2x + 19 = -4(x + -7) + -8

Reorder the terms:
19 + 2x = -4(x + -7) + -8

Reorder the terms:
19 + 2x = -4(-7 + x) + -8
19 + 2x = (-7 * -4 + x * -4) + -8
19 + 2x = (28 + -4x) + -8

Reorder the terms:
19 + 2x = 28 + -8 + -4x

Combine like terms: 28 + -8 = 20
19 + 2x = 20 + -4x

Solving
19 + 2x = 20 + -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.
19 + 2x + 4x = 20 + -4x + 4x

Combine like terms: 2x + 4x = 6x
19 + 6x = 20 + -4x + 4x

Combine like terms: -4x + 4x = 0
19 + 6x = 20 + 0
19 + 6x = 20

Add '-19' to each side of the equation.
19 + -19 + 6x = 20 + -19

Combine like terms: 19 + -19 = 0
0 + 6x = 20 + -19
6x = 20 + -19

Combine like terms: 20 + -19 = 1
6x = 1

Divide each side by '6'.
x = 0.1666666667

Simplifying
x = 0.1666666667

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