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

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


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

Reorder the terms:
2(-4 + 5x) = 6(5x + 4)
(-4 * 2 + 5x * 2) = 6(5x + 4)
(-8 + 10x) = 6(5x + 4)

Reorder the terms:
-8 + 10x = 6(4 + 5x)
-8 + 10x = (4 * 6 + 5x * 6)
-8 + 10x = (24 + 30x)

Solving
-8 + 10x = 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.
-8 + 10x + -30x = 24 + 30x + -30x

Combine like terms: 10x + -30x = -20x
-8 + -20x = 24 + 30x + -30x

Combine like terms: 30x + -30x = 0
-8 + -20x = 24 + 0
-8 + -20x = 24

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

Combine like terms: -8 + 8 = 0
0 + -20x = 24 + 8
-20x = 24 + 8

Combine like terms: 24 + 8 = 32
-20x = 32

Divide each side by '-20'.
x = -1.6

Simplifying
x = -1.6

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