83=4(1+6x)+7

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Solution for 83=4(1+6x)+7 equation:


Simplifying
83 = 4(1 + 6x) + 7
83 = (1 * 4 + 6x * 4) + 7
83 = (4 + 24x) + 7

Reorder the terms:
83 = 4 + 7 + 24x

Combine like terms: 4 + 7 = 11
83 = 11 + 24x

Solving
83 = 11 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
83 + -24x = 11 + 24x + -24x

Combine like terms: 24x + -24x = 0
83 + -24x = 11 + 0
83 + -24x = 11

Add '-83' to each side of the equation.
83 + -83 + -24x = 11 + -83

Combine like terms: 83 + -83 = 0
0 + -24x = 11 + -83
-24x = 11 + -83

Combine like terms: 11 + -83 = -72
-24x = -72

Divide each side by '-24'.
x = 3

Simplifying
x = 3

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