4x+7(x+17)=185

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Solution for 4x+7(x+17)=185 equation:


Simplifying
4x + 7(x + 17) = 185

Reorder the terms:
4x + 7(17 + x) = 185
4x + (17 * 7 + x * 7) = 185
4x + (119 + 7x) = 185

Reorder the terms:
119 + 4x + 7x = 185

Combine like terms: 4x + 7x = 11x
119 + 11x = 185

Solving
119 + 11x = 185

Solving for variable 'x'.

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

Add '-119' to each side of the equation.
119 + -119 + 11x = 185 + -119

Combine like terms: 119 + -119 = 0
0 + 11x = 185 + -119
11x = 185 + -119

Combine like terms: 185 + -119 = 66
11x = 66

Divide each side by '11'.
x = 6

Simplifying
x = 6

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