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

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


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

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

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

Reorder the terms:
-10 + 8x = -5 + 2 + 3x + -1x

Combine like terms: -5 + 2 = -3
-10 + 8x = -3 + 3x + -1x

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

Solving
-10 + 8x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-10 + 8x + -2x = -3 + 2x + -2x

Combine like terms: 8x + -2x = 6x
-10 + 6x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 6x = -3 + 0
-10 + 6x = -3

Add '10' to each side of the equation.
-10 + 10 + 6x = -3 + 10

Combine like terms: -10 + 10 = 0
0 + 6x = -3 + 10
6x = -3 + 10

Combine like terms: -3 + 10 = 7
6x = 7

Divide each side by '6'.
x = 1.166666667

Simplifying
x = 1.166666667

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