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

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


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

Reorder the terms:
5(-2 + 3x) = 8(2x + 3)
(-2 * 5 + 3x * 5) = 8(2x + 3)
(-10 + 15x) = 8(2x + 3)

Reorder the terms:
-10 + 15x = 8(3 + 2x)
-10 + 15x = (3 * 8 + 2x * 8)
-10 + 15x = (24 + 16x)

Solving
-10 + 15x = 24 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-10 + 15x + -16x = 24 + 16x + -16x

Combine like terms: 15x + -16x = -1x
-10 + -1x = 24 + 16x + -16x

Combine like terms: 16x + -16x = 0
-10 + -1x = 24 + 0
-10 + -1x = 24

Add '10' to each side of the equation.
-10 + 10 + -1x = 24 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 24 + 10
-1x = 24 + 10

Combine like terms: 24 + 10 = 34
-1x = 34

Divide each side by '-1'.
x = -34

Simplifying
x = -34

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