83=3(1+5x)+5

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Solution for 83=3(1+5x)+5 equation:


Simplifying
83 = 3(1 + 5x) + 5
83 = (1 * 3 + 5x * 3) + 5
83 = (3 + 15x) + 5

Reorder the terms:
83 = 3 + 5 + 15x

Combine like terms: 3 + 5 = 8
83 = 8 + 15x

Solving
83 = 8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
83 + -15x = 8 + 15x + -15x

Combine like terms: 15x + -15x = 0
83 + -15x = 8 + 0
83 + -15x = 8

Add '-83' to each side of the equation.
83 + -83 + -15x = 8 + -83

Combine like terms: 83 + -83 = 0
0 + -15x = 8 + -83
-15x = 8 + -83

Combine like terms: 8 + -83 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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