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

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


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

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

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

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

Reorder the terms:
-10 + 5x = -1 + 2x

Solving
-10 + 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.
-10 + 5x + -2x = -1 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
-10 + 3x = -1 + 0
-10 + 3x = -1

Add '10' to each side of the equation.
-10 + 10 + 3x = -1 + 10

Combine like terms: -10 + 10 = 0
0 + 3x = -1 + 10
3x = -1 + 10

Combine like terms: -1 + 10 = 9
3x = 9

Divide each side by '3'.
x = 3

Simplifying
x = 3

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