15-3(x-1)=x-2

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Solution for 15-3(x-1)=x-2 equation:


Simplifying
15 + -3(x + -1) = x + -2

Reorder the terms:
15 + -3(-1 + x) = x + -2
15 + (-1 * -3 + x * -3) = x + -2
15 + (3 + -3x) = x + -2

Combine like terms: 15 + 3 = 18
18 + -3x = x + -2

Reorder the terms:
18 + -3x = -2 + x

Solving
18 + -3x = -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.
18 + -3x + -1x = -2 + x + -1x

Combine like terms: -3x + -1x = -4x
18 + -4x = -2 + x + -1x

Combine like terms: x + -1x = 0
18 + -4x = -2 + 0
18 + -4x = -2

Add '-18' to each side of the equation.
18 + -18 + -4x = -2 + -18

Combine like terms: 18 + -18 = 0
0 + -4x = -2 + -18
-4x = -2 + -18

Combine like terms: -2 + -18 = -20
-4x = -20

Divide each side by '-4'.
x = 5

Simplifying
x = 5

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