3x-5(x-2)=-6+3x+1

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Solution for 3x-5(x-2)=-6+3x+1 equation: 


Simplifying
3x + -5(x + -2) = -6 + 3x + 1

Reorder the terms:
3x + -5(-2 + x) = -6 + 3x + 1
3x + (-2 * -5 + x * -5) = -6 + 3x + 1
3x + (10 + -5x) = -6 + 3x + 1

Reorder the terms:
10 + 3x + -5x = -6 + 3x + 1

Combine like terms: 3x + -5x = -2x
10 + -2x = -6 + 3x + 1

Reorder the terms:
10 + -2x = -6 + 1 + 3x

Combine like terms: -6 + 1 = -5
10 + -2x = -5 + 3x

Solving
10 + -2x = -5 + 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 = -5 + 3x + -3x

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

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

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

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

Combine like terms: -5 + -10 = -15
-5x = -15

Divide each side by '-5'.
x = 3

Simplifying
x = 3

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