10x+40-8x=-2+7x+11-4x-10

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Solution for 10x+40-8x=-2+7x+11-4x-10 equation:


Simplifying
10x + 40 + -8x = -2 + 7x + 11 + -4x + -10

Reorder the terms:
40 + 10x + -8x = -2 + 7x + 11 + -4x + -10

Combine like terms: 10x + -8x = 2x
40 + 2x = -2 + 7x + 11 + -4x + -10

Reorder the terms:
40 + 2x = -2 + 11 + -10 + 7x + -4x

Combine like terms: -2 + 11 = 9
40 + 2x = 9 + -10 + 7x + -4x

Combine like terms: 9 + -10 = -1
40 + 2x = -1 + 7x + -4x

Combine like terms: 7x + -4x = 3x
40 + 2x = -1 + 3x

Solving
40 + 2x = -1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
40 + 2x + -3x = -1 + 3x + -3x

Combine like terms: 2x + -3x = -1x
40 + -1x = -1 + 3x + -3x

Combine like terms: 3x + -3x = 0
40 + -1x = -1 + 0
40 + -1x = -1

Add '-40' to each side of the equation.
40 + -40 + -1x = -1 + -40

Combine like terms: 40 + -40 = 0
0 + -1x = -1 + -40
-1x = -1 + -40

Combine like terms: -1 + -40 = -41
-1x = -41

Divide each side by '-1'.
x = 41

Simplifying
x = 41

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