3x-5(x-2)=-4+3x-6

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Solution for 3x-5(x-2)=-4+3x-6 equation: 


Simplifying
3x + -5(x + -2) = -4 + 3x + -6

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

Reorder the terms:
10 + 3x + -5x = -4 + 3x + -6

Combine like terms: 3x + -5x = -2x
10 + -2x = -4 + 3x + -6

Reorder the terms:
10 + -2x = -4 + -6 + 3x

Combine like terms: -4 + -6 = -10
10 + -2x = -10 + 3x

Solving
10 + -2x = -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.
10 + -2x + -3x = -10 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
10 + -5x = -10 + 0
10 + -5x = -10

Add '-10' to each side of the equation.
10 + -10 + -5x = -10 + -10

Combine like terms: 10 + -10 = 0
0 + -5x = -10 + -10
-5x = -10 + -10

Combine like terms: -10 + -10 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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