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

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


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

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

Combine like terms: 2x + -3x = -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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