3(8x+5)=4(2x+9)

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Solution for 3(8x+5)=4(2x+9) equation:


Simplifying
3(8x + 5) = 4(2x + 9)

Reorder the terms:
3(5 + 8x) = 4(2x + 9)
(5 * 3 + 8x * 3) = 4(2x + 9)
(15 + 24x) = 4(2x + 9)

Reorder the terms:
15 + 24x = 4(9 + 2x)
15 + 24x = (9 * 4 + 2x * 4)
15 + 24x = (36 + 8x)

Solving
15 + 24x = 36 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
15 + 24x + -8x = 36 + 8x + -8x

Combine like terms: 24x + -8x = 16x
15 + 16x = 36 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + 16x = 36 + 0
15 + 16x = 36

Add '-15' to each side of the equation.
15 + -15 + 16x = 36 + -15

Combine like terms: 15 + -15 = 0
0 + 16x = 36 + -15
16x = 36 + -15

Combine like terms: 36 + -15 = 21
16x = 21

Divide each side by '16'.
x = 1.3125

Simplifying
x = 1.3125

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