2(-3X+2)-3(2X+1)=5X+7(-X+2)

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Solution for 2(-3X+2)-3(2X+1)=5X+7(-X+2) equation:


Simplifying
2(-3X + 2) + -3(2X + 1) = 5X + 7(-1X + 2)

Reorder the terms:
2(2 + -3X) + -3(2X + 1) = 5X + 7(-1X + 2)
(2 * 2 + -3X * 2) + -3(2X + 1) = 5X + 7(-1X + 2)
(4 + -6X) + -3(2X + 1) = 5X + 7(-1X + 2)

Reorder the terms:
4 + -6X + -3(1 + 2X) = 5X + 7(-1X + 2)
4 + -6X + (1 * -3 + 2X * -3) = 5X + 7(-1X + 2)
4 + -6X + (-3 + -6X) = 5X + 7(-1X + 2)

Reorder the terms:
4 + -3 + -6X + -6X = 5X + 7(-1X + 2)

Combine like terms: 4 + -3 = 1
1 + -6X + -6X = 5X + 7(-1X + 2)

Combine like terms: -6X + -6X = -12X
1 + -12X = 5X + 7(-1X + 2)

Reorder the terms:
1 + -12X = 5X + 7(2 + -1X)
1 + -12X = 5X + (2 * 7 + -1X * 7)
1 + -12X = 5X + (14 + -7X)

Reorder the terms:
1 + -12X = 14 + 5X + -7X

Combine like terms: 5X + -7X = -2X
1 + -12X = 14 + -2X

Solving
1 + -12X = 14 + -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.
1 + -12X + 2X = 14 + -2X + 2X

Combine like terms: -12X + 2X = -10X
1 + -10X = 14 + -2X + 2X

Combine like terms: -2X + 2X = 0
1 + -10X = 14 + 0
1 + -10X = 14

Add '-1' to each side of the equation.
1 + -1 + -10X = 14 + -1

Combine like terms: 1 + -1 = 0
0 + -10X = 14 + -1
-10X = 14 + -1

Combine like terms: 14 + -1 = 13
-10X = 13

Divide each side by '-10'.
X = -1.3

Simplifying
X = -1.3

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