3x+7(4x+13)=380

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Solution for 3x+7(4x+13)=380 equation:


Simplifying
3x + 7(4x + 13) = 380

Reorder the terms:
3x + 7(13 + 4x) = 380
3x + (13 * 7 + 4x * 7) = 380
3x + (91 + 28x) = 380

Reorder the terms:
91 + 3x + 28x = 380

Combine like terms: 3x + 28x = 31x
91 + 31x = 380

Solving
91 + 31x = 380

Solving for variable 'x'.

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

Add '-91' to each side of the equation.
91 + -91 + 31x = 380 + -91

Combine like terms: 91 + -91 = 0
0 + 31x = 380 + -91
31x = 380 + -91

Combine like terms: 380 + -91 = 289
31x = 289

Divide each side by '31'.
x = 9.322580645

Simplifying
x = 9.322580645

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