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

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


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

Reorder the terms:
3x + -2(4 + -1x) = 2x + 1
3x + (4 * -2 + -1x * -2) = 2x + 1
3x + (-8 + 2x) = 2x + 1

Reorder the terms:
-8 + 3x + 2x = 2x + 1

Combine like terms: 3x + 2x = 5x
-8 + 5x = 2x + 1

Reorder the terms:
-8 + 5x = 1 + 2x

Solving
-8 + 5x = 1 + 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.
-8 + 5x + -2x = 1 + 2x + -2x

Combine like terms: 5x + -2x = 3x
-8 + 3x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 3x = 1 + 0
-8 + 3x = 1

Add '8' to each side of the equation.
-8 + 8 + 3x = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 3x = 1 + 8
3x = 1 + 8

Combine like terms: 1 + 8 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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