2(3x-2)-(x+3)=8

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Solution for 2(3x-2)-(x+3)=8 equation:


Simplifying
2(3x + -2) + -1(x + 3) = 8

Reorder the terms:
2(-2 + 3x) + -1(x + 3) = 8
(-2 * 2 + 3x * 2) + -1(x + 3) = 8
(-4 + 6x) + -1(x + 3) = 8

Reorder the terms:
-4 + 6x + -1(3 + x) = 8
-4 + 6x + (3 * -1 + x * -1) = 8
-4 + 6x + (-3 + -1x) = 8

Reorder the terms:
-4 + -3 + 6x + -1x = 8

Combine like terms: -4 + -3 = -7
-7 + 6x + -1x = 8

Combine like terms: 6x + -1x = 5x
-7 + 5x = 8

Solving
-7 + 5x = 8

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 8 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 8 + 7
5x = 8 + 7

Combine like terms: 8 + 7 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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