8x+19=23(x-82)

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Solution for 8x+19=23(x-82) equation:


Simplifying
8x + 19 = 23(x + -82)

Reorder the terms:
19 + 8x = 23(x + -82)

Reorder the terms:
19 + 8x = 23(-82 + x)
19 + 8x = (-82 * 23 + x * 23)
19 + 8x = (-1886 + 23x)

Solving
19 + 8x = -1886 + 23x

Solving for variable 'x'.

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

Add '-23x' to each side of the equation.
19 + 8x + -23x = -1886 + 23x + -23x

Combine like terms: 8x + -23x = -15x
19 + -15x = -1886 + 23x + -23x

Combine like terms: 23x + -23x = 0
19 + -15x = -1886 + 0
19 + -15x = -1886

Add '-19' to each side of the equation.
19 + -19 + -15x = -1886 + -19

Combine like terms: 19 + -19 = 0
0 + -15x = -1886 + -19
-15x = -1886 + -19

Combine like terms: -1886 + -19 = -1905
-15x = -1905

Divide each side by '-15'.
x = 127

Simplifying
x = 127

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