4(3X+1)-6(X-3)=4(2X-7)+34

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Solution for 4(3X+1)-6(X-3)=4(2X-7)+34 equation: 


Simplifying
4(3X + 1) + -6(X + -3) = 4(2X + -7) + 34

Reorder the terms:
4(1 + 3X) + -6(X + -3) = 4(2X + -7) + 34
(1 * 4 + 3X * 4) + -6(X + -3) = 4(2X + -7) + 34
(4 + 12X) + -6(X + -3) = 4(2X + -7) + 34

Reorder the terms:
4 + 12X + -6(-3 + X) = 4(2X + -7) + 34
4 + 12X + (-3 * -6 + X * -6) = 4(2X + -7) + 34
4 + 12X + (18 + -6X) = 4(2X + -7) + 34

Reorder the terms:
4 + 18 + 12X + -6X = 4(2X + -7) + 34

Combine like terms: 4 + 18 = 22
22 + 12X + -6X = 4(2X + -7) + 34

Combine like terms: 12X + -6X = 6X
22 + 6X = 4(2X + -7) + 34

Reorder the terms:
22 + 6X = 4(-7 + 2X) + 34
22 + 6X = (-7 * 4 + 2X * 4) + 34
22 + 6X = (-28 + 8X) + 34

Reorder the terms:
22 + 6X = -28 + 34 + 8X

Combine like terms: -28 + 34 = 6
22 + 6X = 6 + 8X

Solving
22 + 6X = 6 + 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.
22 + 6X + -8X = 6 + 8X + -8X

Combine like terms: 6X + -8X = -2X
22 + -2X = 6 + 8X + -8X

Combine like terms: 8X + -8X = 0
22 + -2X = 6 + 0
22 + -2X = 6

Add '-22' to each side of the equation.
22 + -22 + -2X = 6 + -22

Combine like terms: 22 + -22 = 0
0 + -2X = 6 + -22
-2X = 6 + -22

Combine like terms: 6 + -22 = -16
-2X = -16

Divide each side by '-2'.
X = 8

Simplifying
X = 8

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