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

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


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

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

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

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

Reorder the terms:
6 + 3x = 6(-2 + x)
6 + 3x = (-2 * 6 + x * 6)
6 + 3x = (-12 + 6x)

Solving
6 + 3x = -12 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
6 + 3x + -6x = -12 + 6x + -6x

Combine like terms: 3x + -6x = -3x
6 + -3x = -12 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -3x = -12 + 0
6 + -3x = -12

Add '-6' to each side of the equation.
6 + -6 + -3x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -3x = -12 + -6
-3x = -12 + -6

Combine like terms: -12 + -6 = -18
-3x = -18

Divide each side by '-3'.
x = 6

Simplifying
x = 6

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