9-2(x+4)-10(25-x+40)=5-3x+4(x+1)

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Solution for 9-2(x+4)-10(25-x+40)=5-3x+4(x+1) equation:


Simplifying
9 + -2(x + 4) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1)

Reorder the terms:
9 + -2(4 + x) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1)
9 + (4 * -2 + x * -2) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1)
9 + (-8 + -2x) + -10(25 + -1x + 40) = 5 + -3x + 4(x + 1)

Reorder the terms:
9 + -8 + -2x + -10(25 + 40 + -1x) = 5 + -3x + 4(x + 1)

Combine like terms: 25 + 40 = 65
9 + -8 + -2x + -10(65 + -1x) = 5 + -3x + 4(x + 1)
9 + -8 + -2x + (65 * -10 + -1x * -10) = 5 + -3x + 4(x + 1)
9 + -8 + -2x + (-650 + 10x) = 5 + -3x + 4(x + 1)

Reorder the terms:
9 + -8 + -650 + -2x + 10x = 5 + -3x + 4(x + 1)

Combine like terms: 9 + -8 = 1
1 + -650 + -2x + 10x = 5 + -3x + 4(x + 1)

Combine like terms: 1 + -650 = -649
-649 + -2x + 10x = 5 + -3x + 4(x + 1)

Combine like terms: -2x + 10x = 8x
-649 + 8x = 5 + -3x + 4(x + 1)

Reorder the terms:
-649 + 8x = 5 + -3x + 4(1 + x)
-649 + 8x = 5 + -3x + (1 * 4 + x * 4)
-649 + 8x = 5 + -3x + (4 + 4x)

Reorder the terms:
-649 + 8x = 5 + 4 + -3x + 4x

Combine like terms: 5 + 4 = 9
-649 + 8x = 9 + -3x + 4x

Combine like terms: -3x + 4x = 1x
-649 + 8x = 9 + 1x

Solving
-649 + 8x = 9 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-649 + 8x + -1x = 9 + 1x + -1x

Combine like terms: 8x + -1x = 7x
-649 + 7x = 9 + 1x + -1x

Combine like terms: 1x + -1x = 0
-649 + 7x = 9 + 0
-649 + 7x = 9

Add '649' to each side of the equation.
-649 + 649 + 7x = 9 + 649

Combine like terms: -649 + 649 = 0
0 + 7x = 9 + 649
7x = 9 + 649

Combine like terms: 9 + 649 = 658
7x = 658

Divide each side by '7'.
x = 94

Simplifying
x = 94

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