2(4x-1)-3(x-5)=8

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Solution for 2(4x-1)-3(x-5)=8 equation: 


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

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

Reorder the terms:
-2 + 8x + -3(-5 + x) = 8
-2 + 8x + (-5 * -3 + x * -3) = 8
-2 + 8x + (15 + -3x) = 8

Reorder the terms:
-2 + 15 + 8x + -3x = 8

Combine like terms: -2 + 15 = 13
13 + 8x + -3x = 8

Combine like terms: 8x + -3x = 5x
13 + 5x = 8

Solving
13 + 5x = 8

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 + 5x = 8 + -13

Combine like terms: 13 + -13 = 0
0 + 5x = 8 + -13
5x = 8 + -13

Combine like terms: 8 + -13 = -5
5x = -5

Divide each side by '5'.
x = -1

Simplifying
x = -1

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