3x-2(x-3)=4x-3

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Solution for 3x-2(x-3)=4x-3 equation:


Simplifying
3x + -2(x + -3) = 4x + -3

Reorder the terms:
3x + -2(-3 + x) = 4x + -3
3x + (-3 * -2 + x * -2) = 4x + -3
3x + (6 + -2x) = 4x + -3

Reorder the terms:
6 + 3x + -2x = 4x + -3

Combine like terms: 3x + -2x = 1x
6 + 1x = 4x + -3

Reorder the terms:
6 + 1x = -3 + 4x

Solving
6 + 1x = -3 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
6 + 1x + -4x = -3 + 4x + -4x

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

Combine like terms: 4x + -4x = 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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