3*(2*(x+4)-3*(x-5))=4*(3*(x+2)-4(x+1))+15

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Solution for 3*(2*(x+4)-3*(x-5))=4*(3*(x+2)-4(x+1))+15 equation: 


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

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

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

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

Combine like terms: 8 + 15 = 23
3(23 + 2x + -3x) = 4(3(x + 2) + -4(x + 1)) + 15

Combine like terms: 2x + -3x = -1x
3(23 + -1x) = 4(3(x + 2) + -4(x + 1)) + 15
(23 * 3 + -1x * 3) = 4(3(x + 2) + -4(x + 1)) + 15
(69 + -3x) = 4(3(x + 2) + -4(x + 1)) + 15

Reorder the terms:
69 + -3x = 4(3(2 + x) + -4(x + 1)) + 15
69 + -3x = 4((2 * 3 + x * 3) + -4(x + 1)) + 15
69 + -3x = 4((6 + 3x) + -4(x + 1)) + 15

Reorder the terms:
69 + -3x = 4(6 + 3x + -4(1 + x)) + 15
69 + -3x = 4(6 + 3x + (1 * -4 + x * -4)) + 15
69 + -3x = 4(6 + 3x + (-4 + -4x)) + 15

Reorder the terms:
69 + -3x = 4(6 + -4 + 3x + -4x) + 15

Combine like terms: 6 + -4 = 2
69 + -3x = 4(2 + 3x + -4x) + 15

Combine like terms: 3x + -4x = -1x
69 + -3x = 4(2 + -1x) + 15
69 + -3x = (2 * 4 + -1x * 4) + 15
69 + -3x = (8 + -4x) + 15

Reorder the terms:
69 + -3x = 8 + 15 + -4x

Combine like terms: 8 + 15 = 23
69 + -3x = 23 + -4x

Solving
69 + -3x = 23 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
69 + -3x + 4x = 23 + -4x + 4x

Combine like terms: -3x + 4x = 1x
69 + 1x = 23 + -4x + 4x

Combine like terms: -4x + 4x = 0
69 + 1x = 23 + 0
69 + 1x = 23

Add '-69' to each side of the equation.
69 + -69 + 1x = 23 + -69

Combine like terms: 69 + -69 = 0
0 + 1x = 23 + -69
1x = 23 + -69

Combine like terms: 23 + -69 = -46
1x = -46

Divide each side by '1'.
x = -46

Simplifying
x = -46

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