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

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


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

Reorder the terms:
4(5 + 2x) = 6(5x + -4)
(5 * 4 + 2x * 4) = 6(5x + -4)
(20 + 8x) = 6(5x + -4)

Reorder the terms:
20 + 8x = 6(-4 + 5x)
20 + 8x = (-4 * 6 + 5x * 6)
20 + 8x = (-24 + 30x)

Solving
20 + 8x = -24 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
20 + 8x + -30x = -24 + 30x + -30x

Combine like terms: 8x + -30x = -22x
20 + -22x = -24 + 30x + -30x

Combine like terms: 30x + -30x = 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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