76=5x+3(x+4)

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Solution for 76=5x+3(x+4) equation:


Simplifying
76 = 5x + 3(x + 4)

Reorder the terms:
76 = 5x + 3(4 + x)
76 = 5x + (4 * 3 + x * 3)
76 = 5x + (12 + 3x)

Reorder the terms:
76 = 12 + 5x + 3x

Combine like terms: 5x + 3x = 8x
76 = 12 + 8x

Solving
76 = 12 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
76 + -8x = 12 + 8x + -8x

Combine like terms: 8x + -8x = 0
76 + -8x = 12 + 0
76 + -8x = 12

Add '-76' to each side of the equation.
76 + -76 + -8x = 12 + -76

Combine like terms: 76 + -76 = 0
0 + -8x = 12 + -76
-8x = 12 + -76

Combine like terms: 12 + -76 = -64
-8x = -64

Divide each side by '-8'.
x = 8

Simplifying
x = 8

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