10+2(-4x-3)=-6-4(8x+10)

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Solution for 10+2(-4x-3)=-6-4(8x+10) equation:


Simplifying
10 + 2(-4x + -3) = -6 + -4(8x + 10)

Reorder the terms:
10 + 2(-3 + -4x) = -6 + -4(8x + 10)
10 + (-3 * 2 + -4x * 2) = -6 + -4(8x + 10)
10 + (-6 + -8x) = -6 + -4(8x + 10)

Combine like terms: 10 + -6 = 4
4 + -8x = -6 + -4(8x + 10)

Reorder the terms:
4 + -8x = -6 + -4(10 + 8x)
4 + -8x = -6 + (10 * -4 + 8x * -4)
4 + -8x = -6 + (-40 + -32x)

Combine like terms: -6 + -40 = -46
4 + -8x = -46 + -32x

Solving
4 + -8x = -46 + -32x

Solving for variable 'x'.

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

Add '32x' to each side of the equation.
4 + -8x + 32x = -46 + -32x + 32x

Combine like terms: -8x + 32x = 24x
4 + 24x = -46 + -32x + 32x

Combine like terms: -32x + 32x = 0
4 + 24x = -46 + 0
4 + 24x = -46

Add '-4' to each side of the equation.
4 + -4 + 24x = -46 + -4

Combine like terms: 4 + -4 = 0
0 + 24x = -46 + -4
24x = -46 + -4

Combine like terms: -46 + -4 = -50
24x = -50

Divide each side by '24'.
x = -2.083333333

Simplifying
x = -2.083333333

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