5(2x-1)=3(2x+5)

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Solution for 5(2x-1)=3(2x+5) equation:


Simplifying
5(2x + -1) = 3(2x + 5)

Reorder the terms:
5(-1 + 2x) = 3(2x + 5)
(-1 * 5 + 2x * 5) = 3(2x + 5)
(-5 + 10x) = 3(2x + 5)

Reorder the terms:
-5 + 10x = 3(5 + 2x)
-5 + 10x = (5 * 3 + 2x * 3)
-5 + 10x = (15 + 6x)

Solving
-5 + 10x = 15 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-5 + 10x + -6x = 15 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-5 + 4x = 15 + 6x + -6x

Combine like terms: 6x + -6x = 0
-5 + 4x = 15 + 0
-5 + 4x = 15

Add '5' to each side of the equation.
-5 + 5 + 4x = 15 + 5

Combine like terms: -5 + 5 = 0
0 + 4x = 15 + 5
4x = 15 + 5

Combine like terms: 15 + 5 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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