6(2x+5)=8(9x+3)

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Solution for 6(2x+5)=8(9x+3) equation:


Simplifying
6(2x + 5) = 8(9x + 3)

Reorder the terms:
6(5 + 2x) = 8(9x + 3)
(5 * 6 + 2x * 6) = 8(9x + 3)
(30 + 12x) = 8(9x + 3)

Reorder the terms:
30 + 12x = 8(3 + 9x)
30 + 12x = (3 * 8 + 9x * 8)
30 + 12x = (24 + 72x)

Solving
30 + 12x = 24 + 72x

Solving for variable 'x'.

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

Add '-72x' to each side of the equation.
30 + 12x + -72x = 24 + 72x + -72x

Combine like terms: 12x + -72x = -60x
30 + -60x = 24 + 72x + -72x

Combine like terms: 72x + -72x = 0
30 + -60x = 24 + 0
30 + -60x = 24

Add '-30' to each side of the equation.
30 + -30 + -60x = 24 + -30

Combine like terms: 30 + -30 = 0
0 + -60x = 24 + -30
-60x = 24 + -30

Combine like terms: 24 + -30 = -6
-60x = -6

Divide each side by '-60'.
x = 0.1

Simplifying
x = 0.1

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