3(8+2x)=4(10+x)

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Solution for 3(8+2x)=4(10+x) equation:


Simplifying
3(8 + 2x) = 4(10 + x)
(8 * 3 + 2x * 3) = 4(10 + x)
(24 + 6x) = 4(10 + x)
24 + 6x = (10 * 4 + x * 4)
24 + 6x = (40 + 4x)

Solving
24 + 6x = 40 + 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.
24 + 6x + -4x = 40 + 4x + -4x

Combine like terms: 6x + -4x = 2x
24 + 2x = 40 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + 2x = 40 + 0
24 + 2x = 40

Add '-24' to each side of the equation.
24 + -24 + 2x = 40 + -24

Combine like terms: 24 + -24 = 0
0 + 2x = 40 + -24
2x = 40 + -24

Combine like terms: 40 + -24 = 16
2x = 16

Divide each side by '2'.
x = 8

Simplifying
x = 8

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