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

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


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

Reorder the terms:
5(-5 + 2x) = 3(x + 4)
(-5 * 5 + 2x * 5) = 3(x + 4)
(-25 + 10x) = 3(x + 4)

Reorder the terms:
-25 + 10x = 3(4 + x)
-25 + 10x = (4 * 3 + x * 3)
-25 + 10x = (12 + 3x)

Solving
-25 + 10x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-25 + 10x + -3x = 12 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-25 + 7x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
-25 + 7x = 12 + 0
-25 + 7x = 12

Add '25' to each side of the equation.
-25 + 25 + 7x = 12 + 25

Combine like terms: -25 + 25 = 0
0 + 7x = 12 + 25
7x = 12 + 25

Combine like terms: 12 + 25 = 37
7x = 37

Divide each side by '7'.
x = 5.285714286

Simplifying
x = 5.285714286

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