4(3X-1)=3(5X-2)-4(2X-7)

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Solution for 4(3X-1)=3(5X-2)-4(2X-7) equation:


Simplifying
4(3X + -1) = 3(5X + -2) + -4(2X + -7)

Reorder the terms:
4(-1 + 3X) = 3(5X + -2) + -4(2X + -7)
(-1 * 4 + 3X * 4) = 3(5X + -2) + -4(2X + -7)
(-4 + 12X) = 3(5X + -2) + -4(2X + -7)

Reorder the terms:
-4 + 12X = 3(-2 + 5X) + -4(2X + -7)
-4 + 12X = (-2 * 3 + 5X * 3) + -4(2X + -7)
-4 + 12X = (-6 + 15X) + -4(2X + -7)

Reorder the terms:
-4 + 12X = -6 + 15X + -4(-7 + 2X)
-4 + 12X = -6 + 15X + (-7 * -4 + 2X * -4)
-4 + 12X = -6 + 15X + (28 + -8X)

Reorder the terms:
-4 + 12X = -6 + 28 + 15X + -8X

Combine like terms: -6 + 28 = 22
-4 + 12X = 22 + 15X + -8X

Combine like terms: 15X + -8X = 7X
-4 + 12X = 22 + 7X

Solving
-4 + 12X = 22 + 7X

Solving for variable 'X'.

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

Add '-7X' to each side of the equation.
-4 + 12X + -7X = 22 + 7X + -7X

Combine like terms: 12X + -7X = 5X
-4 + 5X = 22 + 7X + -7X

Combine like terms: 7X + -7X = 0
-4 + 5X = 22 + 0
-4 + 5X = 22

Add '4' to each side of the equation.
-4 + 4 + 5X = 22 + 4

Combine like terms: -4 + 4 = 0
0 + 5X = 22 + 4
5X = 22 + 4

Combine like terms: 22 + 4 = 26
5X = 26

Divide each side by '5'.
X = 5.2

Simplifying
X = 5.2

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