10(x+3)-3(x-3)=3(x-2)+3(x-1)

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Solution for 10(x+3)-3(x-3)=3(x-2)+3(x-1) equation: 


Simplifying
10(x + 3) + -3(x + -3) = 3(x + -2) + 3(x + -1)

Reorder the terms:
10(3 + x) + -3(x + -3) = 3(x + -2) + 3(x + -1)
(3 * 10 + x * 10) + -3(x + -3) = 3(x + -2) + 3(x + -1)
(30 + 10x) + -3(x + -3) = 3(x + -2) + 3(x + -1)

Reorder the terms:
30 + 10x + -3(-3 + x) = 3(x + -2) + 3(x + -1)
30 + 10x + (-3 * -3 + x * -3) = 3(x + -2) + 3(x + -1)
30 + 10x + (9 + -3x) = 3(x + -2) + 3(x + -1)

Reorder the terms:
30 + 9 + 10x + -3x = 3(x + -2) + 3(x + -1)

Combine like terms: 30 + 9 = 39
39 + 10x + -3x = 3(x + -2) + 3(x + -1)

Combine like terms: 10x + -3x = 7x
39 + 7x = 3(x + -2) + 3(x + -1)

Reorder the terms:
39 + 7x = 3(-2 + x) + 3(x + -1)
39 + 7x = (-2 * 3 + x * 3) + 3(x + -1)
39 + 7x = (-6 + 3x) + 3(x + -1)

Reorder the terms:
39 + 7x = -6 + 3x + 3(-1 + x)
39 + 7x = -6 + 3x + (-1 * 3 + x * 3)
39 + 7x = -6 + 3x + (-3 + 3x)

Reorder the terms:
39 + 7x = -6 + -3 + 3x + 3x

Combine like terms: -6 + -3 = -9
39 + 7x = -9 + 3x + 3x

Combine like terms: 3x + 3x = 6x
39 + 7x = -9 + 6x

Solving
39 + 7x = -9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
39 + 7x + -6x = -9 + 6x + -6x

Combine like terms: 7x + -6x = 1x
39 + 1x = -9 + 6x + -6x

Combine like terms: 6x + -6x = 0
39 + 1x = -9 + 0
39 + 1x = -9

Add '-39' to each side of the equation.
39 + -39 + 1x = -9 + -39

Combine like terms: 39 + -39 = 0
0 + 1x = -9 + -39
1x = -9 + -39

Combine like terms: -9 + -39 = -48
1x = -48

Divide each side by '1'.
x = -48

Simplifying
x = -48

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