3x+5(4x+17)=-76

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Solution for 3x+5(4x+17)=-76 equation:


Simplifying
3x + 5(4x + 17) = -76

Reorder the terms:
3x + 5(17 + 4x) = -76
3x + (17 * 5 + 4x * 5) = -76
3x + (85 + 20x) = -76

Reorder the terms:
85 + 3x + 20x = -76

Combine like terms: 3x + 20x = 23x
85 + 23x = -76

Solving
85 + 23x = -76

Solving for variable 'x'.

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

Add '-85' to each side of the equation.
85 + -85 + 23x = -76 + -85

Combine like terms: 85 + -85 = 0
0 + 23x = -76 + -85
23x = -76 + -85

Combine like terms: -76 + -85 = -161
23x = -161

Divide each side by '23'.
x = -7

Simplifying
x = -7

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