5-3(2x-4)=3x-10

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Solution for 5-3(2x-4)=3x-10 equation:


Simplifying
5 + -3(2x + -4) = 3x + -10

Reorder the terms:
5 + -3(-4 + 2x) = 3x + -10
5 + (-4 * -3 + 2x * -3) = 3x + -10
5 + (12 + -6x) = 3x + -10

Combine like terms: 5 + 12 = 17
17 + -6x = 3x + -10

Reorder the terms:
17 + -6x = -10 + 3x

Solving
17 + -6x = -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.
17 + -6x + -3x = -10 + 3x + -3x

Combine like terms: -6x + -3x = -9x
17 + -9x = -10 + 3x + -3x

Combine like terms: 3x + -3x = 0
17 + -9x = -10 + 0
17 + -9x = -10

Add '-17' to each side of the equation.
17 + -17 + -9x = -10 + -17

Combine like terms: 17 + -17 = 0
0 + -9x = -10 + -17
-9x = -10 + -17

Combine like terms: -10 + -17 = -27
-9x = -27

Divide each side by '-9'.
x = 3

Simplifying
x = 3

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