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

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


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

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

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

Combine like terms: x + -5x = -4x
20 + -4x = 6(x + 2)

Reorder the terms:
20 + -4x = 6(2 + x)
20 + -4x = (2 * 6 + x * 6)
20 + -4x = (12 + 6x)

Solving
20 + -4x = 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.
20 + -4x + -6x = 12 + 6x + -6x

Combine like terms: -4x + -6x = -10x
20 + -10x = 12 + 6x + -6x

Combine like terms: 6x + -6x = 0
20 + -10x = 12 + 0
20 + -10x = 12

Add '-20' to each side of the equation.
20 + -20 + -10x = 12 + -20

Combine like terms: 20 + -20 = 0
0 + -10x = 12 + -20
-10x = 12 + -20

Combine like terms: 12 + -20 = -8
-10x = -8

Divide each side by '-10'.
x = 0.8

Simplifying
x = 0.8

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