15(3+x)-6(3x-1)-7(1-x)=3(2-3x)-1

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Solution for 15(3+x)-6(3x-1)-7(1-x)=3(2-3x)-1 equation: 


Simplifying
15(3 + x) + -6(3x + -1) + -7(1 + -1x) = 3(2 + -3x) + -1
(3 * 15 + x * 15) + -6(3x + -1) + -7(1 + -1x) = 3(2 + -3x) + -1
(45 + 15x) + -6(3x + -1) + -7(1 + -1x) = 3(2 + -3x) + -1

Reorder the terms:
45 + 15x + -6(-1 + 3x) + -7(1 + -1x) = 3(2 + -3x) + -1
45 + 15x + (-1 * -6 + 3x * -6) + -7(1 + -1x) = 3(2 + -3x) + -1
45 + 15x + (6 + -18x) + -7(1 + -1x) = 3(2 + -3x) + -1
45 + 15x + 6 + -18x + (1 * -7 + -1x * -7) = 3(2 + -3x) + -1
45 + 15x + 6 + -18x + (-7 + 7x) = 3(2 + -3x) + -1

Reorder the terms:
45 + 6 + -7 + 15x + -18x + 7x = 3(2 + -3x) + -1

Combine like terms: 45 + 6 = 51
51 + -7 + 15x + -18x + 7x = 3(2 + -3x) + -1

Combine like terms: 51 + -7 = 44
44 + 15x + -18x + 7x = 3(2 + -3x) + -1

Combine like terms: 15x + -18x = -3x
44 + -3x + 7x = 3(2 + -3x) + -1

Combine like terms: -3x + 7x = 4x
44 + 4x = 3(2 + -3x) + -1
44 + 4x = (2 * 3 + -3x * 3) + -1
44 + 4x = (6 + -9x) + -1

Reorder the terms:
44 + 4x = 6 + -1 + -9x

Combine like terms: 6 + -1 = 5
44 + 4x = 5 + -9x

Solving
44 + 4x = 5 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
44 + 4x + 9x = 5 + -9x + 9x

Combine like terms: 4x + 9x = 13x
44 + 13x = 5 + -9x + 9x

Combine like terms: -9x + 9x = 0
44 + 13x = 5 + 0
44 + 13x = 5

Add '-44' to each side of the equation.
44 + -44 + 13x = 5 + -44

Combine like terms: 44 + -44 = 0
0 + 13x = 5 + -44
13x = 5 + -44

Combine like terms: 5 + -44 = -39
13x = -39

Divide each side by '13'.
x = -3

Simplifying
x = -3

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