6(x-8)-4(x+5)=-1

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Solution for 6(x-8)-4(x+5)=-1 equation: 


Simplifying
6(x + -8) + -4(x + 5) = -1

Reorder the terms:
6(-8 + x) + -4(x + 5) = -1
(-8 * 6 + x * 6) + -4(x + 5) = -1
(-48 + 6x) + -4(x + 5) = -1

Reorder the terms:
-48 + 6x + -4(5 + x) = -1
-48 + 6x + (5 * -4 + x * -4) = -1
-48 + 6x + (-20 + -4x) = -1

Reorder the terms:
-48 + -20 + 6x + -4x = -1

Combine like terms: -48 + -20 = -68
-68 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-68 + 2x = -1

Solving
-68 + 2x = -1

Solving for variable 'x'.

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

Add '68' to each side of the equation.
-68 + 68 + 2x = -1 + 68

Combine like terms: -68 + 68 = 0
0 + 2x = -1 + 68
2x = -1 + 68

Combine like terms: -1 + 68 = 67
2x = 67

Divide each side by '2'.
x = 33.5

Simplifying
x = 33.5

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