10-5x=3(x-2)-2

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Solution for 10-5x=3(x-2)-2 equation: 


Simplifying
10 + -5x = 3(x + -2) + -2

Reorder the terms:
10 + -5x = 3(-2 + x) + -2
10 + -5x = (-2 * 3 + x * 3) + -2
10 + -5x = (-6 + 3x) + -2

Reorder the terms:
10 + -5x = -6 + -2 + 3x

Combine like terms: -6 + -2 = -8
10 + -5x = -8 + 3x

Solving
10 + -5x = -8 + 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.
10 + -5x + -3x = -8 + 3x + -3x

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

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

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

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

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

Divide each side by '-8'.
x = 2.25

Simplifying
x = 2.25

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