8-5(x-2)=x+48

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Solution for 8-5(x-2)=x+48 equation:


Simplifying
8 + -5(x + -2) = x + 48

Reorder the terms:
8 + -5(-2 + x) = x + 48
8 + (-2 * -5 + x * -5) = x + 48
8 + (10 + -5x) = x + 48

Combine like terms: 8 + 10 = 18
18 + -5x = x + 48

Reorder the terms:
18 + -5x = 48 + x

Solving
18 + -5x = 48 + 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.
18 + -5x + -1x = 48 + x + -1x

Combine like terms: -5x + -1x = -6x
18 + -6x = 48 + x + -1x

Combine like terms: x + -1x = 0
18 + -6x = 48 + 0
18 + -6x = 48

Add '-18' to each side of the equation.
18 + -18 + -6x = 48 + -18

Combine like terms: 18 + -18 = 0
0 + -6x = 48 + -18
-6x = 48 + -18

Combine like terms: 48 + -18 = 30
-6x = 30

Divide each side by '-6'.
x = -5

Simplifying
x = -5

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