7X-3(x-2)=2x+1

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Solution for 7X-3(x-2)=2x+1 equation:


Simplifying
7X + -3(x + -2) = 2x + 1

Reorder the terms:
7X + -3(-2 + x) = 2x + 1
7X + (-2 * -3 + x * -3) = 2x + 1
7X + (6 + -3x) = 2x + 1

Reorder the terms:
6 + 7X + -3x = 2x + 1

Reorder the terms:
6 + 7X + -3x = 1 + 2x

Solving
6 + 7X + -3x = 1 + 2x

Solving for variable 'X'.

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

Add '-6' to each side of the equation.
6 + 7X + -6 + -3x = 1 + -6 + 2x

Reorder the terms:
6 + -6 + 7X + -3x = 1 + -6 + 2x

Combine like terms: 6 + -6 = 0
0 + 7X + -3x = 1 + -6 + 2x
7X + -3x = 1 + -6 + 2x

Combine like terms: 1 + -6 = -5
7X + -3x = -5 + 2x

Add '3x' to each side of the equation.
7X + -3x + 3x = -5 + 2x + 3x

Combine like terms: -3x + 3x = 0
7X + 0 = -5 + 2x + 3x
7X = -5 + 2x + 3x

Combine like terms: 2x + 3x = 5x
7X = -5 + 5x

Divide each side by '7'.
X = -0.7142857143 + 0.7142857143x

Simplifying
X = -0.7142857143 + 0.7142857143x

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