-6(x-6)-2(-7x-8)=7(x+8)-1

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Solution for -6(x-6)-2(-7x-8)=7(x+8)-1 equation:


Simplifying
-6(x + -6) + -2(-7x + -8) = 7(x + 8) + -1
Reorder the terms:
-6(-6 + x) + -2(-7x + -8) = 7(x + 8) + -1
(-6 * -6 + x * -6) + -2(-7x + -8) = 7(x + 8) + -1
(36 + -6x) + -2(-7x + -8) = 7(x + 8) + -1
Reorder the terms:
36 + -6x + -2(-8 + -7x) = 7(x + 8) + -1
36 + -6x + (-8 * -2 + -7x * -2) = 7(x + 8) + -1
36 + -6x + (16 + 14x) = 7(x + 8) + -1
Reorder the terms:
36 + 16 + -6x + 14x = 7(x + 8) + -1
Combine like terms: 36 + 16 = 52
52 + -6x + 14x = 7(x + 8) + -1
Combine like terms: -6x + 14x = 8x
52 + 8x = 7(x + 8) + -1
Reorder the terms:
52 + 8x = 7(8 + x) + -1
52 + 8x = (8 * 7 + x * 7) + -1
52 + 8x = (56 + 7x) + -1
Reorder the terms:
52 + 8x = 56 + -1 + 7x
Combine like terms: 56 + -1 = 55
52 + 8x = 55 + 7x
Solving
52 + 8x = 55 + 7x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-7x' to each side of the equation.
52 + 8x + -7x = 55 + 7x + -7x
Combine like terms: 8x + -7x = 1x
52 + 1x = 55 + 7x + -7x
Combine like terms: 7x + -7x = 0
52 + 1x = 55 + 0
52 + 1x = 55
Add '-52' to each side of the equation.
52 + -52 + 1x = 55 + -52
Combine like terms: 52 + -52 = 0
0 + 1x = 55 + -52
1x = 55 + -52
Combine like terms: 55 + -52 = 3
1x = 3
Divide each side by '1'.
x = 3
Simplifying
x = 3

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