4x-2(x-3)=(5x-3)

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Solution for 4x-2(x-3)=(5x-3) equation:


Simplifying
4x + -2(x + -3) = (5x + -3)

Reorder the terms:
4x + -2(-3 + x) = (5x + -3)
4x + (-3 * -2 + x * -2) = (5x + -3)
4x + (6 + -2x) = (5x + -3)

Reorder the terms:
6 + 4x + -2x = (5x + -3)

Combine like terms: 4x + -2x = 2x
6 + 2x = (5x + -3)

Reorder the terms:
6 + 2x = (-3 + 5x)

Remove parenthesis around (-3 + 5x)
6 + 2x = -3 + 5x

Solving
6 + 2x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + 2x + -5x = -3 + 5x + -5x

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

Combine like terms: 5x + -5x = 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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