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

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


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

Reorder the terms:
15 + -3(-2 + x) = 2x + 1
15 + (-2 * -3 + x * -3) = 2x + 1
15 + (6 + -3x) = 2x + 1

Combine like terms: 15 + 6 = 21
21 + -3x = 2x + 1

Reorder the terms:
21 + -3x = 1 + 2x

Solving
21 + -3x = 1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
21 + -3x + -2x = 1 + 2x + -2x

Combine like terms: -3x + -2x = -5x
21 + -5x = 1 + 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -5x = 1 + 0
21 + -5x = 1

Add '-21' to each side of the equation.
21 + -21 + -5x = 1 + -21

Combine like terms: 21 + -21 = 0
0 + -5x = 1 + -21
-5x = 1 + -21

Combine like terms: 1 + -21 = -20
-5x = -20

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

Simplifying
x = 4

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