10(x+6)=3(x+34)

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Solution for 10(x+6)=3(x+34) equation: 


Simplifying
10(x + 6) = 3(x + 34)

Reorder the terms:
10(6 + x) = 3(x + 34)
(6 * 10 + x * 10) = 3(x + 34)
(60 + 10x) = 3(x + 34)

Reorder the terms:
60 + 10x = 3(34 + x)
60 + 10x = (34 * 3 + x * 3)
60 + 10x = (102 + 3x)

Solving
60 + 10x = 102 + 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.
60 + 10x + -3x = 102 + 3x + -3x

Combine like terms: 10x + -3x = 7x
60 + 7x = 102 + 3x + -3x

Combine like terms: 3x + -3x = 0
60 + 7x = 102 + 0
60 + 7x = 102

Add '-60' to each side of the equation.
60 + -60 + 7x = 102 + -60

Combine like terms: 60 + -60 = 0
0 + 7x = 102 + -60
7x = 102 + -60

Combine like terms: 102 + -60 = 42
7x = 42

Divide each side by '7'.
x = 6

Simplifying
x = 6

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