8=5x-2(x+5)

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


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

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

Reorder the terms:
8 = -10 + 5x + -2x

Combine like terms: 5x + -2x = 3x
8 = -10 + 3x

Solving
8 = -10 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
8 + -3x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
8 + -3x = -10 + 0
8 + -3x = -10

Add '-8' to each side of the equation.
8 + -8 + -3x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = -10 + -8
-3x = -10 + -8

Combine like terms: -10 + -8 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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