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

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


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

Reorder the terms:
2x + -5(-4 + x) = 6(x + -3)
2x + (-4 * -5 + x * -5) = 6(x + -3)
2x + (20 + -5x) = 6(x + -3)

Reorder the terms:
20 + 2x + -5x = 6(x + -3)

Combine like terms: 2x + -5x = -3x
20 + -3x = 6(x + -3)

Reorder the terms:
20 + -3x = 6(-3 + x)
20 + -3x = (-3 * 6 + x * 6)
20 + -3x = (-18 + 6x)

Solving
20 + -3x = -18 + 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.
20 + -3x + -6x = -18 + 6x + -6x

Combine like terms: -3x + -6x = -9x
20 + -9x = -18 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -9x = -18 + 0
20 + -9x = -18

Add '-20' to each side of the equation.
20 + -20 + -9x = -18 + -20

Combine like terms: 20 + -20 = 0
0 + -9x = -18 + -20
-9x = -18 + -20

Combine like terms: -18 + -20 = -38
-9x = -38

Divide each side by '-9'.
x = 4.222222222

Simplifying
x = 4.222222222

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