10[2x+4]=-[-8-9-x]+3x

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Solution for 10[2x+4]=-[-8-9-x]+3x equation:


Simplifying
10[2x + 4] = -1[-8 + -9 + -1x] + 3x

Reorder the terms:
10[4 + 2x] = -1[-8 + -9 + -1x] + 3x
[4 * 10 + 2x * 10] = -1[-8 + -9 + -1x] + 3x
[40 + 20x] = -1[-8 + -9 + -1x] + 3x

Combine like terms: -8 + -9 = -17
40 + 20x = -1[-17 + -1x] + 3x
40 + 20x = [-17 * -1 + -1x * -1] + 3x
40 + 20x = [17 + 1x] + 3x

Combine like terms: 1x + 3x = 4x
40 + 20x = 17 + 4x

Solving
40 + 20x = 17 + 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.
40 + 20x + -4x = 17 + 4x + -4x

Combine like terms: 20x + -4x = 16x
40 + 16x = 17 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + 16x = 17 + 0
40 + 16x = 17

Add '-40' to each side of the equation.
40 + -40 + 16x = 17 + -40

Combine like terms: 40 + -40 = 0
0 + 16x = 17 + -40
16x = 17 + -40

Combine like terms: 17 + -40 = -23
16x = -23

Divide each side by '16'.
x = -1.4375

Simplifying
x = -1.4375

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