10(1+x)=3(x+8)

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Solution for 10(1+x)=3(x+8) equation: 


Simplifying
10(1 + x) = 3(x + 8)
(1 * 10 + x * 10) = 3(x + 8)
(10 + 10x) = 3(x + 8)

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

Solving
10 + 10x = 24 + 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.
10 + 10x + -3x = 24 + 3x + -3x

Combine like terms: 10x + -3x = 7x
10 + 7x = 24 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 7x = 24 + 0
10 + 7x = 24

Add '-10' to each side of the equation.
10 + -10 + 7x = 24 + -10

Combine like terms: 10 + -10 = 0
0 + 7x = 24 + -10
7x = 24 + -10

Combine like terms: 24 + -10 = 14
7x = 14

Divide each side by '7'.
x = 2

Simplifying
x = 2

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