5(2X+3)-4(X-8)=5

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Solution for 5(2X+3)-4(X-8)=5 equation:


Simplifying
5(2X + 3) + -4(X + -8) = 5

Reorder the terms:
5(3 + 2X) + -4(X + -8) = 5
(3 * 5 + 2X * 5) + -4(X + -8) = 5
(15 + 10X) + -4(X + -8) = 5

Reorder the terms:
15 + 10X + -4(-8 + X) = 5
15 + 10X + (-8 * -4 + X * -4) = 5
15 + 10X + (32 + -4X) = 5

Reorder the terms:
15 + 32 + 10X + -4X = 5

Combine like terms: 15 + 32 = 47
47 + 10X + -4X = 5

Combine like terms: 10X + -4X = 6X
47 + 6X = 5

Solving
47 + 6X = 5

Solving for variable 'X'.

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

Add '-47' to each side of the equation.
47 + -47 + 6X = 5 + -47

Combine like terms: 47 + -47 = 0
0 + 6X = 5 + -47
6X = 5 + -47

Combine like terms: 5 + -47 = -42
6X = -42

Divide each side by '6'.
X = -7

Simplifying
X = -7

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