5(3x+16)-2(x-5)=161

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Solution for 5(3x+16)-2(x-5)=161 equation:


Simplifying
5(3x + 16) + -2(x + -5) = 161

Reorder the terms:
5(16 + 3x) + -2(x + -5) = 161
(16 * 5 + 3x * 5) + -2(x + -5) = 161
(80 + 15x) + -2(x + -5) = 161

Reorder the terms:
80 + 15x + -2(-5 + x) = 161
80 + 15x + (-5 * -2 + x * -2) = 161
80 + 15x + (10 + -2x) = 161

Reorder the terms:
80 + 10 + 15x + -2x = 161

Combine like terms: 80 + 10 = 90
90 + 15x + -2x = 161

Combine like terms: 15x + -2x = 13x
90 + 13x = 161

Solving
90 + 13x = 161

Solving for variable 'x'.

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

Add '-90' to each side of the equation.
90 + -90 + 13x = 161 + -90

Combine like terms: 90 + -90 = 0
0 + 13x = 161 + -90
13x = 161 + -90

Combine like terms: 161 + -90 = 71
13x = 71

Divide each side by '13'.
x = 5.461538462

Simplifying
x = 5.461538462

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