6(5x+4)=4(5x+16)

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Solution for 6(5x+4)=4(5x+16) equation:


Simplifying
6(5x + 4) = 4(5x + 16)

Reorder the terms:
6(4 + 5x) = 4(5x + 16)
(4 * 6 + 5x * 6) = 4(5x + 16)
(24 + 30x) = 4(5x + 16)

Reorder the terms:
24 + 30x = 4(16 + 5x)
24 + 30x = (16 * 4 + 5x * 4)
24 + 30x = (64 + 20x)

Solving
24 + 30x = 64 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
24 + 30x + -20x = 64 + 20x + -20x

Combine like terms: 30x + -20x = 10x
24 + 10x = 64 + 20x + -20x

Combine like terms: 20x + -20x = 0
24 + 10x = 64 + 0
24 + 10x = 64

Add '-24' to each side of the equation.
24 + -24 + 10x = 64 + -24

Combine like terms: 24 + -24 = 0
0 + 10x = 64 + -24
10x = 64 + -24

Combine like terms: 64 + -24 = 40
10x = 40

Divide each side by '10'.
x = 4

Simplifying
x = 4

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