2(4x-1)+5(x+4)=31

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Solution for 2(4x-1)+5(x+4)=31 equation:


Simplifying
2(4x + -1) + 5(x + 4) = 31

Reorder the terms:
2(-1 + 4x) + 5(x + 4) = 31
(-1 * 2 + 4x * 2) + 5(x + 4) = 31
(-2 + 8x) + 5(x + 4) = 31

Reorder the terms:
-2 + 8x + 5(4 + x) = 31
-2 + 8x + (4 * 5 + x * 5) = 31
-2 + 8x + (20 + 5x) = 31

Reorder the terms:
-2 + 20 + 8x + 5x = 31

Combine like terms: -2 + 20 = 18
18 + 8x + 5x = 31

Combine like terms: 8x + 5x = 13x
18 + 13x = 31

Solving
18 + 13x = 31

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + 13x = 31 + -18

Combine like terms: 18 + -18 = 0
0 + 13x = 31 + -18
13x = 31 + -18

Combine like terms: 31 + -18 = 13
13x = 13

Divide each side by '13'.
x = 1

Simplifying
x = 1

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