3x-2(x-1)=-4+3x+10

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Solution for 3x-2(x-1)=-4+3x+10 equation: 


Simplifying
3x + -2(x + -1) = -4 + 3x + 10

Reorder the terms:
3x + -2(-1 + x) = -4 + 3x + 10
3x + (-1 * -2 + x * -2) = -4 + 3x + 10
3x + (2 + -2x) = -4 + 3x + 10

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

Combine like terms: 3x + -2x = 1x
2 + 1x = -4 + 3x + 10

Reorder the terms:
2 + 1x = -4 + 10 + 3x

Combine like terms: -4 + 10 = 6
2 + 1x = 6 + 3x

Solving
2 + 1x = 6 + 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.
2 + 1x + -3x = 6 + 3x + -3x

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

Combine like terms: 3x + -3x = 0
2 + -2x = 6 + 0
2 + -2x = 6

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

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

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

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

Simplifying
x = -2

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