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

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


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

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

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

Combine like terms: 6 + -5 = 1
1 + 3X = 4(2X + 5) + -3X

Reorder the terms:
1 + 3X = 4(5 + 2X) + -3X
1 + 3X = (5 * 4 + 2X * 4) + -3X
1 + 3X = (20 + 8X) + -3X

Combine like terms: 8X + -3X = 5X
1 + 3X = 20 + 5X

Solving
1 + 3X = 20 + 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.
1 + 3X + -5X = 20 + 5X + -5X

Combine like terms: 3X + -5X = -2X
1 + -2X = 20 + 5X + -5X

Combine like terms: 5X + -5X = 0
1 + -2X = 20 + 0
1 + -2X = 20

Add '-1' to each side of the equation.
1 + -1 + -2X = 20 + -1

Combine like terms: 1 + -1 = 0
0 + -2X = 20 + -1
-2X = 20 + -1

Combine like terms: 20 + -1 = 19
-2X = 19

Divide each side by '-2'.
X = -9.5

Simplifying
X = -9.5

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