7x-3(x-2)=x-3

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


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

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

Reorder the terms:
6 + 7x + -3x = x + -3

Combine like terms: 7x + -3x = 4x
6 + 4x = x + -3

Reorder the terms:
6 + 4x = -3 + x

Solving
6 + 4x = -3 + 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.
6 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
6 + 3x = -3 + x + -1x

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

Add '-6' to each side of the equation.
6 + -6 + 3x = -3 + -6

Combine like terms: 6 + -6 = 0
0 + 3x = -3 + -6
3x = -3 + -6

Combine like terms: -3 + -6 = -9
3x = -9

Divide each side by '3'.
x = -3

Simplifying
x = -3

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