3X+5(2X-1)=8-3(4-5)

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Solution for 3X+5(2X-1)=8-3(4-5) equation:


Simplifying
3X + 5(2X + -1) = 8 + -3(4 + -5)

Reorder the terms:
3X + 5(-1 + 2X) = 8 + -3(4 + -5)
3X + (-1 * 5 + 2X * 5) = 8 + -3(4 + -5)
3X + (-5 + 10X) = 8 + -3(4 + -5)

Reorder the terms:
-5 + 3X + 10X = 8 + -3(4 + -5)

Combine like terms: 3X + 10X = 13X
-5 + 13X = 8 + -3(4 + -5)

Combine like terms: 4 + -5 = -1
-5 + 13X = 8 + -3(-1)

Multiply -3 * -1
-5 + 13X = 8 + 3

Combine like terms: 8 + 3 = 11
-5 + 13X = 11

Solving
-5 + 13X = 11

Solving for variable 'X'.

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

Add '5' to each side of the equation.
-5 + 5 + 13X = 11 + 5

Combine like terms: -5 + 5 = 0
0 + 13X = 11 + 5
13X = 11 + 5

Combine like terms: 11 + 5 = 16
13X = 16

Divide each side by '13'.
X = 1.230769231

Simplifying
X = 1.230769231

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