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

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


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

Reorder the terms:
3(-3 + 2x) + -1(5x + 1) = -2
(-3 * 3 + 2x * 3) + -1(5x + 1) = -2
(-9 + 6x) + -1(5x + 1) = -2

Reorder the terms:
-9 + 6x + -1(1 + 5x) = -2
-9 + 6x + (1 * -1 + 5x * -1) = -2
-9 + 6x + (-1 + -5x) = -2

Reorder the terms:
-9 + -1 + 6x + -5x = -2

Combine like terms: -9 + -1 = -10
-10 + 6x + -5x = -2

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

Solving
-10 + 1x = -2

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 1x = -2 + 10

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

Combine like terms: -2 + 10 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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