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

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


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

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

Reorder the terms:
-10 + 15x = 2(8 + 2x)
-10 + 15x = (8 * 2 + 2x * 2)
-10 + 15x = (16 + 4x)

Solving
-10 + 15x = 16 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 15x + -4x = 16 + 4x + -4x

Combine like terms: 15x + -4x = 11x
-10 + 11x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 11x = 16 + 0
-10 + 11x = 16

Add '10' to each side of the equation.
-10 + 10 + 11x = 16 + 10

Combine like terms: -10 + 10 = 0
0 + 11x = 16 + 10
11x = 16 + 10

Combine like terms: 16 + 10 = 26
11x = 26

Divide each side by '11'.
x = 2.363636364

Simplifying
x = 2.363636364

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