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

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


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

Reorder the terms:
6(-7 + x) + -4(x + 6) = -1
(-7 * 6 + x * 6) + -4(x + 6) = -1
(-42 + 6x) + -4(x + 6) = -1

Reorder the terms:
-42 + 6x + -4(6 + x) = -1
-42 + 6x + (6 * -4 + x * -4) = -1
-42 + 6x + (-24 + -4x) = -1

Reorder the terms:
-42 + -24 + 6x + -4x = -1

Combine like terms: -42 + -24 = -66
-66 + 6x + -4x = -1

Combine like terms: 6x + -4x = 2x
-66 + 2x = -1

Solving
-66 + 2x = -1

Solving for variable 'x'.

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

Add '66' to each side of the equation.
-66 + 66 + 2x = -1 + 66

Combine like terms: -66 + 66 = 0
0 + 2x = -1 + 66
2x = -1 + 66

Combine like terms: -1 + 66 = 65
2x = 65

Divide each side by '2'.
x = 32.5

Simplifying
x = 32.5

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