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

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


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

Reorder the terms:
5(5 + 3X) = 4(X + -2)
(5 * 5 + 3X * 5) = 4(X + -2)
(25 + 15X) = 4(X + -2)

Reorder the terms:
25 + 15X = 4(-2 + X)
25 + 15X = (-2 * 4 + X * 4)
25 + 15X = (-8 + 4X)

Solving
25 + 15X = -8 + 4X

Solving for variable 'X'.

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

Add '-4X' to each side of the equation.
25 + 15X + -4X = -8 + 4X + -4X

Combine like terms: 15X + -4X = 11X
25 + 11X = -8 + 4X + -4X

Combine like terms: 4X + -4X = 0
25 + 11X = -8 + 0
25 + 11X = -8

Add '-25' to each side of the equation.
25 + -25 + 11X = -8 + -25

Combine like terms: 25 + -25 = 0
0 + 11X = -8 + -25
11X = -8 + -25

Combine like terms: -8 + -25 = -33
11X = -33

Divide each side by '11'.
X = -3

Simplifying
X = -3

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