8x-(5-x)+2(3x-4)=2

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Solution for 8x-(5-x)+2(3x-4)=2 equation:


Simplifying
8x + -1(5 + -1x) + 2(3x + -4) = 2
8x + (5 * -1 + -1x * -1) + 2(3x + -4) = 2
8x + (-5 + 1x) + 2(3x + -4) = 2

Reorder the terms:
8x + -5 + 1x + 2(-4 + 3x) = 2
8x + -5 + 1x + (-4 * 2 + 3x * 2) = 2
8x + -5 + 1x + (-8 + 6x) = 2

Reorder the terms:
-5 + -8 + 8x + 1x + 6x = 2

Combine like terms: -5 + -8 = -13
-13 + 8x + 1x + 6x = 2

Combine like terms: 8x + 1x = 9x
-13 + 9x + 6x = 2

Combine like terms: 9x + 6x = 15x
-13 + 15x = 2

Solving
-13 + 15x = 2

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 15x = 2 + 13

Combine like terms: -13 + 13 = 0
0 + 15x = 2 + 13
15x = 2 + 13

Combine like terms: 2 + 13 = 15
15x = 15

Divide each side by '15'.
x = 1

Simplifying
x = 1

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