2-3x=8(5-x)-(x-10)

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Solution for 2-3x=8(5-x)-(x-10) equation:


Simplifying
2 + -3x = 8(5 + -1x) + -1(x + -10)
2 + -3x = (5 * 8 + -1x * 8) + -1(x + -10)
2 + -3x = (40 + -8x) + -1(x + -10)

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

Reorder the terms:
2 + -3x = 40 + 10 + -8x + -1x

Combine like terms: 40 + 10 = 50
2 + -3x = 50 + -8x + -1x

Combine like terms: -8x + -1x = -9x
2 + -3x = 50 + -9x

Solving
2 + -3x = 50 + -9x

Solving for variable 'x'.

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

Add '9x' to each side of the equation.
2 + -3x + 9x = 50 + -9x + 9x

Combine like terms: -3x + 9x = 6x
2 + 6x = 50 + -9x + 9x

Combine like terms: -9x + 9x = 0
2 + 6x = 50 + 0
2 + 6x = 50

Add '-2' to each side of the equation.
2 + -2 + 6x = 50 + -2

Combine like terms: 2 + -2 = 0
0 + 6x = 50 + -2
6x = 50 + -2

Combine like terms: 50 + -2 = 48
6x = 48

Divide each side by '6'.
x = 8

Simplifying
x = 8

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