3(5x-1)+6(x+3)=4(x+4)-(x+5)

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Solution for 3(5x-1)+6(x+3)=4(x+4)-(x+5) equation: 


Simplifying
3(5x + -1) + 6(x + 3) = 4(x + 4) + -1(x + 5)

Reorder the terms:
3(-1 + 5x) + 6(x + 3) = 4(x + 4) + -1(x + 5)
(-1 * 3 + 5x * 3) + 6(x + 3) = 4(x + 4) + -1(x + 5)
(-3 + 15x) + 6(x + 3) = 4(x + 4) + -1(x + 5)

Reorder the terms:
-3 + 15x + 6(3 + x) = 4(x + 4) + -1(x + 5)
-3 + 15x + (3 * 6 + x * 6) = 4(x + 4) + -1(x + 5)
-3 + 15x + (18 + 6x) = 4(x + 4) + -1(x + 5)

Reorder the terms:
-3 + 18 + 15x + 6x = 4(x + 4) + -1(x + 5)

Combine like terms: -3 + 18 = 15
15 + 15x + 6x = 4(x + 4) + -1(x + 5)

Combine like terms: 15x + 6x = 21x
15 + 21x = 4(x + 4) + -1(x + 5)

Reorder the terms:
15 + 21x = 4(4 + x) + -1(x + 5)
15 + 21x = (4 * 4 + x * 4) + -1(x + 5)
15 + 21x = (16 + 4x) + -1(x + 5)

Reorder the terms:
15 + 21x = 16 + 4x + -1(5 + x)
15 + 21x = 16 + 4x + (5 * -1 + x * -1)
15 + 21x = 16 + 4x + (-5 + -1x)

Reorder the terms:
15 + 21x = 16 + -5 + 4x + -1x

Combine like terms: 16 + -5 = 11
15 + 21x = 11 + 4x + -1x

Combine like terms: 4x + -1x = 3x
15 + 21x = 11 + 3x

Solving
15 + 21x = 11 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 21x + -3x = 11 + 3x + -3x

Combine like terms: 21x + -3x = 18x
15 + 18x = 11 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 18x = 11 + 0
15 + 18x = 11

Add '-15' to each side of the equation.
15 + -15 + 18x = 11 + -15

Combine like terms: 15 + -15 = 0
0 + 18x = 11 + -15
18x = 11 + -15

Combine like terms: 11 + -15 = -4
18x = -4

Divide each side by '18'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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