5(3X-4)-4(3X-8)+11X+3=3(6-X)+3(8X-22)

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Solution for 5(3X-4)-4(3X-8)+11X+3=3(6-X)+3(8X-22) equation: 


Simplifying
5(3X + -4) + -4(3X + -8) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)

Reorder the terms:
5(-4 + 3X) + -4(3X + -8) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)
(-4 * 5 + 3X * 5) + -4(3X + -8) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)
(-20 + 15X) + -4(3X + -8) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)

Reorder the terms:
-20 + 15X + -4(-8 + 3X) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)
-20 + 15X + (-8 * -4 + 3X * -4) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)
-20 + 15X + (32 + -12X) + 11X + 3 = 3(6 + -1X) + 3(8X + -22)

Reorder the terms:
-20 + 32 + 3 + 15X + -12X + 11X = 3(6 + -1X) + 3(8X + -22)

Combine like terms: -20 + 32 = 12
12 + 3 + 15X + -12X + 11X = 3(6 + -1X) + 3(8X + -22)

Combine like terms: 12 + 3 = 15
15 + 15X + -12X + 11X = 3(6 + -1X) + 3(8X + -22)

Combine like terms: 15X + -12X = 3X
15 + 3X + 11X = 3(6 + -1X) + 3(8X + -22)

Combine like terms: 3X + 11X = 14X
15 + 14X = 3(6 + -1X) + 3(8X + -22)
15 + 14X = (6 * 3 + -1X * 3) + 3(8X + -22)
15 + 14X = (18 + -3X) + 3(8X + -22)

Reorder the terms:
15 + 14X = 18 + -3X + 3(-22 + 8X)
15 + 14X = 18 + -3X + (-22 * 3 + 8X * 3)
15 + 14X = 18 + -3X + (-66 + 24X)

Reorder the terms:
15 + 14X = 18 + -66 + -3X + 24X

Combine like terms: 18 + -66 = -48
15 + 14X = -48 + -3X + 24X

Combine like terms: -3X + 24X = 21X
15 + 14X = -48 + 21X

Solving
15 + 14X = -48 + 21X

Solving for variable 'X'.

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

Add '-21X' to each side of the equation.
15 + 14X + -21X = -48 + 21X + -21X

Combine like terms: 14X + -21X = -7X
15 + -7X = -48 + 21X + -21X

Combine like terms: 21X + -21X = 0
15 + -7X = -48 + 0
15 + -7X = -48

Add '-15' to each side of the equation.
15 + -15 + -7X = -48 + -15

Combine like terms: 15 + -15 = 0
0 + -7X = -48 + -15
-7X = -48 + -15

Combine like terms: -48 + -15 = -63
-7X = -63

Divide each side by '-7'.
X = 9

Simplifying
X = 9

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