6(x-8)-4(x+7)=-1

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Solution for 6(x-8)-4(x+7)=-1 equation: 


Simplifying
6(x + -8) + -4(x + 7) = -1

Reorder the terms:
6(-8 + x) + -4(x + 7) = -1
(-8 * 6 + x * 6) + -4(x + 7) = -1
(-48 + 6x) + -4(x + 7) = -1

Reorder the terms:
-48 + 6x + -4(7 + x) = -1
-48 + 6x + (7 * -4 + x * -4) = -1
-48 + 6x + (-28 + -4x) = -1

Reorder the terms:
-48 + -28 + 6x + -4x = -1

Combine like terms: -48 + -28 = -76
-76 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-76 + 2x = -1

Solving
-76 + 2x = -1

Solving for variable 'x'.

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

Add '76' to each side of the equation.
-76 + 76 + 2x = -1 + 76

Combine like terms: -76 + 76 = 0
0 + 2x = -1 + 76
2x = -1 + 76

Combine like terms: -1 + 76 = 75
2x = 75

Divide each side by '2'.
x = 37.5

Simplifying
x = 37.5

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