10=3(x-2)-5x

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


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

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

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

Solving
10 = -6 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
10 + 2x = -6 + -2x + 2x

Combine like terms: -2x + 2x = 0
10 + 2x = -6 + 0
10 + 2x = -6

Add '-10' to each side of the equation.
10 + -10 + 2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = -6 + -10
2x = -6 + -10

Combine like terms: -6 + -10 = -16
2x = -16

Divide each side by '2'.
x = -8

Simplifying
x = -8

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