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

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


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

Reorder the terms for easier multiplication:
-4 * 3X + 2(X + -3) = 2(X + 4) + 5

Multiply -4 * 3
-12X + 2(X + -3) = 2(X + 4) + 5

Reorder the terms:
-12X + 2(-3 + X) = 2(X + 4) + 5
-12X + (-3 * 2 + X * 2) = 2(X + 4) + 5
-12X + (-6 + 2X) = 2(X + 4) + 5

Reorder the terms:
-6 + -12X + 2X = 2(X + 4) + 5

Combine like terms: -12X + 2X = -10X
-6 + -10X = 2(X + 4) + 5

Reorder the terms:
-6 + -10X = 2(4 + X) + 5
-6 + -10X = (4 * 2 + X * 2) + 5
-6 + -10X = (8 + 2X) + 5

Reorder the terms:
-6 + -10X = 8 + 5 + 2X

Combine like terms: 8 + 5 = 13
-6 + -10X = 13 + 2X

Solving
-6 + -10X = 13 + 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.
-6 + -10X + -2X = 13 + 2X + -2X

Combine like terms: -10X + -2X = -12X
-6 + -12X = 13 + 2X + -2X

Combine like terms: 2X + -2X = 0
-6 + -12X = 13 + 0
-6 + -12X = 13

Add '6' to each side of the equation.
-6 + 6 + -12X = 13 + 6

Combine like terms: -6 + 6 = 0
0 + -12X = 13 + 6
-12X = 13 + 6

Combine like terms: 13 + 6 = 19
-12X = 19

Divide each side by '-12'.
X = -1.583333333

Simplifying
X = -1.583333333

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