5(x-3)-(X-1)=(X+3)-10

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Solution for 5(x-3)-(X-1)=(X+3)-10 equation: 


Simplifying
5(x + -3) + -1(X + -1) = (X + 3) + -10

Reorder the terms:
5(-3 + x) + -1(X + -1) = (X + 3) + -10
(-3 * 5 + x * 5) + -1(X + -1) = (X + 3) + -10
(-15 + 5x) + -1(X + -1) = (X + 3) + -10

Reorder the terms:
-15 + 5x + -1(-1 + X) = (X + 3) + -10
-15 + 5x + (-1 * -1 + X * -1) = (X + 3) + -10
-15 + 5x + (1 + -1X) = (X + 3) + -10

Reorder the terms:
-15 + 1 + -1X + 5x = (X + 3) + -10

Combine like terms: -15 + 1 = -14
-14 + -1X + 5x = (X + 3) + -10

Reorder the terms:
-14 + -1X + 5x = (3 + X) + -10

Remove parenthesis around (3 + X)
-14 + -1X + 5x = 3 + X + -10

Reorder the terms:
-14 + -1X + 5x = 3 + -10 + X

Combine like terms: 3 + -10 = -7
-14 + -1X + 5x = -7 + X

Solving
-14 + -1X + 5x = -7 + X

Solving for variable 'X'.

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

Add '-1X' to each side of the equation.
-14 + -1X + -1X + 5x = -7 + X + -1X

Combine like terms: -1X + -1X = -2X
-14 + -2X + 5x = -7 + X + -1X

Combine like terms: X + -1X = 0
-14 + -2X + 5x = -7 + 0
-14 + -2X + 5x = -7

Add '14' to each side of the equation.
-14 + -2X + 14 + 5x = -7 + 14

Reorder the terms:
-14 + 14 + -2X + 5x = -7 + 14

Combine like terms: -14 + 14 = 0
0 + -2X + 5x = -7 + 14
-2X + 5x = -7 + 14

Combine like terms: -7 + 14 = 7
-2X + 5x = 7

Add '-5x' to each side of the equation.
-2X + 5x + -5x = 7 + -5x

Combine like terms: 5x + -5x = 0
-2X + 0 = 7 + -5x
-2X = 7 + -5x

Divide each side by '-2'.
X = -3.5 + 2.5x

Simplifying
X = -3.5 + 2.5x

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