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

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


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

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

Reorder the terms:
20 + -4x = 6(-4 + 3x)
20 + -4x = (-4 * 6 + 3x * 6)
20 + -4x = (-24 + 18x)

Solving
20 + -4x = -24 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
20 + -4x + -18x = -24 + 18x + -18x

Combine like terms: -4x + -18x = -22x
20 + -22x = -24 + 18x + -18x

Combine like terms: 18x + -18x = 0
20 + -22x = -24 + 0
20 + -22x = -24

Add '-20' to each side of the equation.
20 + -20 + -22x = -24 + -20

Combine like terms: 20 + -20 = 0
0 + -22x = -24 + -20
-22x = -24 + -20

Combine like terms: -24 + -20 = -44
-22x = -44

Divide each side by '-22'.
x = 2

Simplifying
x = 2

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