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

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


Simplifying
3(X + -5) = -2(4 + -1X)

Reorder the terms:
3(-5 + X) = -2(4 + -1X)
(-5 * 3 + X * 3) = -2(4 + -1X)
(-15 + 3X) = -2(4 + -1X)
-15 + 3X = (4 * -2 + -1X * -2)
-15 + 3X = (-8 + 2X)

Solving
-15 + 3X = -8 + 2X

Solving for variable 'X'.

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

Add '-2X' to each side of the equation.
-15 + 3X + -2X = -8 + 2X + -2X

Combine like terms: 3X + -2X = 1X
-15 + 1X = -8 + 2X + -2X

Combine like terms: 2X + -2X = 0
-15 + 1X = -8 + 0
-15 + 1X = -8

Add '15' to each side of the equation.
-15 + 15 + 1X = -8 + 15

Combine like terms: -15 + 15 = 0
0 + 1X = -8 + 15
1X = -8 + 15

Combine like terms: -8 + 15 = 7
1X = 7

Divide each side by '1'.
X = 7

Simplifying
X = 7

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