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

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


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

Reorder the terms:
8(-4 + 3x) = 5(2x + 3)
(-4 * 8 + 3x * 8) = 5(2x + 3)
(-32 + 24x) = 5(2x + 3)

Reorder the terms:
-32 + 24x = 5(3 + 2x)
-32 + 24x = (3 * 5 + 2x * 5)
-32 + 24x = (15 + 10x)

Solving
-32 + 24x = 15 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
-32 + 24x + -10x = 15 + 10x + -10x

Combine like terms: 24x + -10x = 14x
-32 + 14x = 15 + 10x + -10x

Combine like terms: 10x + -10x = 0
-32 + 14x = 15 + 0
-32 + 14x = 15

Add '32' to each side of the equation.
-32 + 32 + 14x = 15 + 32

Combine like terms: -32 + 32 = 0
0 + 14x = 15 + 32
14x = 15 + 32

Combine like terms: 15 + 32 = 47
14x = 47

Divide each side by '14'.
x = 3.357142857

Simplifying
x = 3.357142857

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