6x-3(x-2)=5x-4

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Solution for 6x-3(x-2)=5x-4 equation:


Simplifying
6x + -3(x + -2) = 5x + -4

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

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

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

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

Solving
6 + 3x = -4 + 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 + 3x + -5x = -4 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
6 + -2x = -4 + 0
6 + -2x = -4

Add '-6' to each side of the equation.
6 + -6 + -2x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -2x = -4 + -6
-2x = -4 + -6

Combine like terms: -4 + -6 = -10
-2x = -10

Divide each side by '-2'.
x = 5

Simplifying
x = 5

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