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

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


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

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

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

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

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

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

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

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

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

Reorder the terms:
-289 + 8x = 5 + -4 + -3x + -4x

Combine like terms: 5 + -4 = 1
-289 + 8x = 1 + -3x + -4x

Combine like terms: -3x + -4x = -7x
-289 + 8x = 1 + -7x

Solving
-289 + 8x = 1 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-289 + 8x + 7x = 1 + -7x + 7x

Combine like terms: 8x + 7x = 15x
-289 + 15x = 1 + -7x + 7x

Combine like terms: -7x + 7x = 0
-289 + 15x = 1 + 0
-289 + 15x = 1

Add '289' to each side of the equation.
-289 + 289 + 15x = 1 + 289

Combine like terms: -289 + 289 = 0
0 + 15x = 1 + 289
15x = 1 + 289

Combine like terms: 1 + 289 = 290
15x = 290

Divide each side by '15'.
x = 19.33333333

Simplifying
x = 19.33333333

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