8(x+3)-(3+3x)-2(4x+3)=18(2x-5)-15(2x-3)-3x

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Solution for 8(x+3)-(3+3x)-2(4x+3)=18(2x-5)-15(2x-3)-3x equation:


Simplifying
8(x + 3) + -1(3 + 3x) + -2(4x + 3) = 18(2x + -5) + -15(2x + -3) + -3x

Reorder the terms:
8(3 + x) + -1(3 + 3x) + -2(4x + 3) = 18(2x + -5) + -15(2x + -3) + -3x
(3 * 8 + x * 8) + -1(3 + 3x) + -2(4x + 3) = 18(2x + -5) + -15(2x + -3) + -3x
(24 + 8x) + -1(3 + 3x) + -2(4x + 3) = 18(2x + -5) + -15(2x + -3) + -3x
24 + 8x + (3 * -1 + 3x * -1) + -2(4x + 3) = 18(2x + -5) + -15(2x + -3) + -3x
24 + 8x + (-3 + -3x) + -2(4x + 3) = 18(2x + -5) + -15(2x + -3) + -3x

Reorder the terms:
24 + 8x + -3 + -3x + -2(3 + 4x) = 18(2x + -5) + -15(2x + -3) + -3x
24 + 8x + -3 + -3x + (3 * -2 + 4x * -2) = 18(2x + -5) + -15(2x + -3) + -3x
24 + 8x + -3 + -3x + (-6 + -8x) = 18(2x + -5) + -15(2x + -3) + -3x

Reorder the terms:
24 + -3 + -6 + 8x + -3x + -8x = 18(2x + -5) + -15(2x + -3) + -3x

Combine like terms: 24 + -3 = 21
21 + -6 + 8x + -3x + -8x = 18(2x + -5) + -15(2x + -3) + -3x

Combine like terms: 21 + -6 = 15
15 + 8x + -3x + -8x = 18(2x + -5) + -15(2x + -3) + -3x

Combine like terms: 8x + -3x = 5x
15 + 5x + -8x = 18(2x + -5) + -15(2x + -3) + -3x

Combine like terms: 5x + -8x = -3x
15 + -3x = 18(2x + -5) + -15(2x + -3) + -3x

Reorder the terms:
15 + -3x = 18(-5 + 2x) + -15(2x + -3) + -3x
15 + -3x = (-5 * 18 + 2x * 18) + -15(2x + -3) + -3x
15 + -3x = (-90 + 36x) + -15(2x + -3) + -3x

Reorder the terms:
15 + -3x = -90 + 36x + -15(-3 + 2x) + -3x
15 + -3x = -90 + 36x + (-3 * -15 + 2x * -15) + -3x
15 + -3x = -90 + 36x + (45 + -30x) + -3x

Reorder the terms:
15 + -3x = -90 + 45 + 36x + -30x + -3x

Combine like terms: -90 + 45 = -45
15 + -3x = -45 + 36x + -30x + -3x

Combine like terms: 36x + -30x = 6x
15 + -3x = -45 + 6x + -3x

Combine like terms: 6x + -3x = 3x
15 + -3x = -45 + 3x

Solving
15 + -3x = -45 + 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 + -3x + -3x = -45 + 3x + -3x

Combine like terms: -3x + -3x = -6x
15 + -6x = -45 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + -6x = -45 + 0
15 + -6x = -45

Add '-15' to each side of the equation.
15 + -15 + -6x = -45 + -15

Combine like terms: 15 + -15 = 0
0 + -6x = -45 + -15
-6x = -45 + -15

Combine like terms: -45 + -15 = -60
-6x = -60

Divide each side by '-6'.
x = 10

Simplifying
x = 10

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