5(X-3)+1=-8(X-1)

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Solution for 5(X-3)+1=-8(X-1) equation:


Simplifying
5(X + -3) + 1 = -8(X + -1)

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

Reorder the terms:
-15 + 1 + 5X = -8(X + -1)

Combine like terms: -15 + 1 = -14
-14 + 5X = -8(X + -1)

Reorder the terms:
-14 + 5X = -8(-1 + X)
-14 + 5X = (-1 * -8 + X * -8)
-14 + 5X = (8 + -8X)

Solving
-14 + 5X = 8 + -8X

Solving for variable 'X'.

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

Add '8X' to each side of the equation.
-14 + 5X + 8X = 8 + -8X + 8X

Combine like terms: 5X + 8X = 13X
-14 + 13X = 8 + -8X + 8X

Combine like terms: -8X + 8X = 0
-14 + 13X = 8 + 0
-14 + 13X = 8

Add '14' to each side of the equation.
-14 + 14 + 13X = 8 + 14

Combine like terms: -14 + 14 = 0
0 + 13X = 8 + 14
13X = 8 + 14

Combine like terms: 8 + 14 = 22
13X = 22

Divide each side by '13'.
X = 1.692307692

Simplifying
X = 1.692307692

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