15-48=5(x-2)-8

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Solution for 15-48=5(x-2)-8 equation:


Simplifying
15 + -48 = 5(x + -2) + -8

Combine like terms: 15 + -48 = -33
-33 = 5(x + -2) + -8

Reorder the terms:
-33 = 5(-2 + x) + -8
-33 = (-2 * 5 + x * 5) + -8
-33 = (-10 + 5x) + -8

Reorder the terms:
-33 = -10 + -8 + 5x

Combine like terms: -10 + -8 = -18
-33 = -18 + 5x

Solving
-33 = -18 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-33 + -5x = -18 + 5x + -5x

Combine like terms: 5x + -5x = 0
-33 + -5x = -18 + 0
-33 + -5x = -18

Add '33' to each side of the equation.
-33 + 33 + -5x = -18 + 33

Combine like terms: -33 + 33 = 0
0 + -5x = -18 + 33
-5x = -18 + 33

Combine like terms: -18 + 33 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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