3x+4(4x+17)=182

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Solution for 3x+4(4x+17)=182 equation:


Simplifying
3x + 4(4x + 17) = 182

Reorder the terms:
3x + 4(17 + 4x) = 182
3x + (17 * 4 + 4x * 4) = 182
3x + (68 + 16x) = 182

Reorder the terms:
68 + 3x + 16x = 182

Combine like terms: 3x + 16x = 19x
68 + 19x = 182

Solving
68 + 19x = 182

Solving for variable 'x'.

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

Add '-68' to each side of the equation.
68 + -68 + 19x = 182 + -68

Combine like terms: 68 + -68 = 0
0 + 19x = 182 + -68
19x = 182 + -68

Combine like terms: 182 + -68 = 114
19x = 114

Divide each side by '19'.
x = 6

Simplifying
x = 6

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