7(x-8)+8(x-6)+(x-7)=5x-1

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Solution for 7(x-8)+8(x-6)+(x-7)=5x-1 equation:


Simplifying
7(x + -8) + 8(x + -6) + (x + -7) = 5x + -1

Reorder the terms:
7(-8 + x) + 8(x + -6) + (x + -7) = 5x + -1
(-8 * 7 + x * 7) + 8(x + -6) + (x + -7) = 5x + -1
(-56 + 7x) + 8(x + -6) + (x + -7) = 5x + -1

Reorder the terms:
-56 + 7x + 8(-6 + x) + (x + -7) = 5x + -1
-56 + 7x + (-6 * 8 + x * 8) + (x + -7) = 5x + -1
-56 + 7x + (-48 + 8x) + (x + -7) = 5x + -1

Reorder the terms:
-56 + 7x + -48 + 8x + (-7 + x) = 5x + -1

Remove parenthesis around (-7 + x)
-56 + 7x + -48 + 8x + -7 + x = 5x + -1

Reorder the terms:
-56 + -48 + -7 + 7x + 8x + x = 5x + -1

Combine like terms: -56 + -48 = -104
-104 + -7 + 7x + 8x + x = 5x + -1

Combine like terms: -104 + -7 = -111
-111 + 7x + 8x + x = 5x + -1

Combine like terms: 7x + 8x = 15x
-111 + 15x + x = 5x + -1

Combine like terms: 15x + x = 16x
-111 + 16x = 5x + -1

Reorder the terms:
-111 + 16x = -1 + 5x

Solving
-111 + 16x = -1 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-111 + 16x + -5x = -1 + 5x + -5x

Combine like terms: 16x + -5x = 11x
-111 + 11x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-111 + 11x = -1 + 0
-111 + 11x = -1

Add '111' to each side of the equation.
-111 + 111 + 11x = -1 + 111

Combine like terms: -111 + 111 = 0
0 + 11x = -1 + 111
11x = -1 + 111

Combine like terms: -1 + 111 = 110
11x = 110

Divide each side by '11'.
x = 10

Simplifying
x = 10

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