76=2x+2(5x+8)

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Solution for 76=2x+2(5x+8) equation:


Simplifying
76 = 2x + 2(5x + 8)

Reorder the terms:
76 = 2x + 2(8 + 5x)
76 = 2x + (8 * 2 + 5x * 2)
76 = 2x + (16 + 10x)

Reorder the terms:
76 = 16 + 2x + 10x

Combine like terms: 2x + 10x = 12x
76 = 16 + 12x

Solving
76 = 16 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
76 + -12x = 16 + 12x + -12x

Combine like terms: 12x + -12x = 0
76 + -12x = 16 + 0
76 + -12x = 16

Add '-76' to each side of the equation.
76 + -76 + -12x = 16 + -76

Combine like terms: 76 + -76 = 0
0 + -12x = 16 + -76
-12x = 16 + -76

Combine like terms: 16 + -76 = -60
-12x = -60

Divide each side by '-12'.
x = 5

Simplifying
x = 5

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