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

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


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

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

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

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

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

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

Solving
-5 + 5x = 10

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

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

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

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

Divide each side by '5'.
x = 3

Simplifying
x = 3

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