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

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


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

Multiply -5 * 3
2x + -15 = (x + -2)

Reorder the terms:
-15 + 2x = (x + -2)

Reorder the terms:
-15 + 2x = (-2 + x)

Remove parenthesis around (-2 + x)
-15 + 2x = -2 + x

Solving
-15 + 2x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-15 + 2x + -1x = -2 + x + -1x

Combine like terms: 2x + -1x = 1x
-15 + 1x = -2 + x + -1x

Combine like terms: x + -1x = 0
-15 + 1x = -2 + 0
-15 + 1x = -2

Add '15' to each side of the equation.
-15 + 15 + 1x = -2 + 15

Combine like terms: -15 + 15 = 0
0 + 1x = -2 + 15
1x = -2 + 15

Combine like terms: -2 + 15 = 13
1x = 13

Divide each side by '1'.
x = 13

Simplifying
x = 13

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