3(2x+8)=2(5x+10)

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Solution for 3(2x+8)=2(5x+10) equation:


Simplifying
3(2x + 8) = 2(5x + 10)

Reorder the terms:
3(8 + 2x) = 2(5x + 10)
(8 * 3 + 2x * 3) = 2(5x + 10)
(24 + 6x) = 2(5x + 10)

Reorder the terms:
24 + 6x = 2(10 + 5x)
24 + 6x = (10 * 2 + 5x * 2)
24 + 6x = (20 + 10x)

Solving
24 + 6x = 20 + 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.
24 + 6x + -10x = 20 + 10x + -10x

Combine like terms: 6x + -10x = -4x
24 + -4x = 20 + 10x + -10x

Combine like terms: 10x + -10x = 0
24 + -4x = 20 + 0
24 + -4x = 20

Add '-24' to each side of the equation.
24 + -24 + -4x = 20 + -24

Combine like terms: 24 + -24 = 0
0 + -4x = 20 + -24
-4x = 20 + -24

Combine like terms: 20 + -24 = -4
-4x = -4

Divide each side by '-4'.
x = 1

Simplifying
x = 1

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