5x+3(x+6)=74

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Solution for 5x+3(x+6)=74 equation:


Simplifying
5x + 3(x + 6) = 74

Reorder the terms:
5x + 3(6 + x) = 74
5x + (6 * 3 + x * 3) = 74
5x + (18 + 3x) = 74

Reorder the terms:
18 + 5x + 3x = 74

Combine like terms: 5x + 3x = 8x
18 + 8x = 74

Solving
18 + 8x = 74

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 8x = 74 + -18

Combine like terms: 18 + -18 = 0
0 + 8x = 74 + -18
8x = 74 + -18

Combine like terms: 74 + -18 = 56
8x = 56

Divide each side by '8'.
x = 7

Simplifying
x = 7

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