5(x+5)+2(2x-3)=31

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Solution for 5(x+5)+2(2x-3)=31 equation:


Simplifying
5(x + 5) + 2(2x + -3) = 31

Reorder the terms:
5(5 + x) + 2(2x + -3) = 31
(5 * 5 + x * 5) + 2(2x + -3) = 31
(25 + 5x) + 2(2x + -3) = 31

Reorder the terms:
25 + 5x + 2(-3 + 2x) = 31
25 + 5x + (-3 * 2 + 2x * 2) = 31
25 + 5x + (-6 + 4x) = 31

Reorder the terms:
25 + -6 + 5x + 4x = 31

Combine like terms: 25 + -6 = 19
19 + 5x + 4x = 31

Combine like terms: 5x + 4x = 9x
19 + 9x = 31

Solving
19 + 9x = 31

Solving for variable 'x'.

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

Add '-19' to each side of the equation.
19 + -19 + 9x = 31 + -19

Combine like terms: 19 + -19 = 0
0 + 9x = 31 + -19
9x = 31 + -19

Combine like terms: 31 + -19 = 12
9x = 12

Divide each side by '9'.
x = 1.333333333

Simplifying
x = 1.333333333

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