5(X+2)-2(2X+3)=34-5X

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Solution for 5(X+2)-2(2X+3)=34-5X equation:


Simplifying
5(X + 2) + -2(2X + 3) = 34 + -5X

Reorder the terms:
5(2 + X) + -2(2X + 3) = 34 + -5X
(2 * 5 + X * 5) + -2(2X + 3) = 34 + -5X
(10 + 5X) + -2(2X + 3) = 34 + -5X

Reorder the terms:
10 + 5X + -2(3 + 2X) = 34 + -5X
10 + 5X + (3 * -2 + 2X * -2) = 34 + -5X
10 + 5X + (-6 + -4X) = 34 + -5X

Reorder the terms:
10 + -6 + 5X + -4X = 34 + -5X

Combine like terms: 10 + -6 = 4
4 + 5X + -4X = 34 + -5X

Combine like terms: 5X + -4X = 1X
4 + 1X = 34 + -5X

Solving
4 + 1X = 34 + -5X

Solving for variable 'X'.

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

Add '5X' to each side of the equation.
4 + 1X + 5X = 34 + -5X + 5X

Combine like terms: 1X + 5X = 6X
4 + 6X = 34 + -5X + 5X

Combine like terms: -5X + 5X = 0
4 + 6X = 34 + 0
4 + 6X = 34

Add '-4' to each side of the equation.
4 + -4 + 6X = 34 + -4

Combine like terms: 4 + -4 = 0
0 + 6X = 34 + -4
6X = 34 + -4

Combine like terms: 34 + -4 = 30
6X = 30

Divide each side by '6'.
X = 5

Simplifying
X = 5

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