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

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


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

Reorder the terms:
5(-8 + x) + 7(x + 5) + (x + -6) = 5x + -1
(-8 * 5 + x * 5) + 7(x + 5) + (x + -6) = 5x + -1
(-40 + 5x) + 7(x + 5) + (x + -6) = 5x + -1

Reorder the terms:
-40 + 5x + 7(5 + x) + (x + -6) = 5x + -1
-40 + 5x + (5 * 7 + x * 7) + (x + -6) = 5x + -1
-40 + 5x + (35 + 7x) + (x + -6) = 5x + -1

Reorder the terms:
-40 + 5x + 35 + 7x + (-6 + x) = 5x + -1

Remove parenthesis around (-6 + x)
-40 + 5x + 35 + 7x + -6 + x = 5x + -1

Reorder the terms:
-40 + 35 + -6 + 5x + 7x + x = 5x + -1

Combine like terms: -40 + 35 = -5
-5 + -6 + 5x + 7x + x = 5x + -1

Combine like terms: -5 + -6 = -11
-11 + 5x + 7x + x = 5x + -1

Combine like terms: 5x + 7x = 12x
-11 + 12x + x = 5x + -1

Combine like terms: 12x + x = 13x
-11 + 13x = 5x + -1

Reorder the terms:
-11 + 13x = -1 + 5x

Solving
-11 + 13x = -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.
-11 + 13x + -5x = -1 + 5x + -5x

Combine like terms: 13x + -5x = 8x
-11 + 8x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-11 + 8x = -1 + 0
-11 + 8x = -1

Add '11' to each side of the equation.
-11 + 11 + 8x = -1 + 11

Combine like terms: -11 + 11 = 0
0 + 8x = -1 + 11
8x = -1 + 11

Combine like terms: -1 + 11 = 10
8x = 10

Divide each side by '8'.
x = 1.25

Simplifying
x = 1.25

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