9-2(x+4)-10(25-x+4)=5-3-4(x+1)

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Solution for 9-2(x+4)-10(25-x+4)=5-3-4(x+1) equation: 


Simplifying
9 + -2(x + 4) + -10(25 + -1x + 4) = 5 + -3 + -4(x + 1)

Reorder the terms:
9 + -2(4 + x) + -10(25 + -1x + 4) = 5 + -3 + -4(x + 1)
9 + (4 * -2 + x * -2) + -10(25 + -1x + 4) = 5 + -3 + -4(x + 1)
9 + (-8 + -2x) + -10(25 + -1x + 4) = 5 + -3 + -4(x + 1)

Reorder the terms:
9 + -8 + -2x + -10(25 + 4 + -1x) = 5 + -3 + -4(x + 1)

Combine like terms: 25 + 4 = 29
9 + -8 + -2x + -10(29 + -1x) = 5 + -3 + -4(x + 1)
9 + -8 + -2x + (29 * -10 + -1x * -10) = 5 + -3 + -4(x + 1)
9 + -8 + -2x + (-290 + 10x) = 5 + -3 + -4(x + 1)

Reorder the terms:
9 + -8 + -290 + -2x + 10x = 5 + -3 + -4(x + 1)

Combine like terms: 9 + -8 = 1
1 + -290 + -2x + 10x = 5 + -3 + -4(x + 1)

Combine like terms: 1 + -290 = -289
-289 + -2x + 10x = 5 + -3 + -4(x + 1)

Combine like terms: -2x + 10x = 8x
-289 + 8x = 5 + -3 + -4(x + 1)

Reorder the terms:
-289 + 8x = 5 + -3 + -4(1 + x)
-289 + 8x = 5 + -3 + (1 * -4 + x * -4)
-289 + 8x = 5 + -3 + (-4 + -4x)

Combine like terms: 5 + -3 = 2
-289 + 8x = 2 + -4 + -4x

Combine like terms: 2 + -4 = -2
-289 + 8x = -2 + -4x

Solving
-289 + 8x = -2 + -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.
-289 + 8x + 4x = -2 + -4x + 4x

Combine like terms: 8x + 4x = 12x
-289 + 12x = -2 + -4x + 4x

Combine like terms: -4x + 4x = 0
-289 + 12x = -2 + 0
-289 + 12x = -2

Add '289' to each side of the equation.
-289 + 289 + 12x = -2 + 289

Combine like terms: -289 + 289 = 0
0 + 12x = -2 + 289
12x = -2 + 289

Combine like terms: -2 + 289 = 287
12x = 287

Divide each side by '12'.
x = 23.91666667

Simplifying
x = 23.91666667

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