5(x-6)+3(x-1)+(x-8)=5x-1

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Solution for 5(x-6)+3(x-1)+(x-8)=5x-1 equation:


Simplifying
5(x + -6) + 3(x + -1) + (x + -8) = 5x + -1

Reorder the terms:
5(-6 + x) + 3(x + -1) + (x + -8) = 5x + -1
(-6 * 5 + x * 5) + 3(x + -1) + (x + -8) = 5x + -1
(-30 + 5x) + 3(x + -1) + (x + -8) = 5x + -1

Reorder the terms:
-30 + 5x + 3(-1 + x) + (x + -8) = 5x + -1
-30 + 5x + (-1 * 3 + x * 3) + (x + -8) = 5x + -1
-30 + 5x + (-3 + 3x) + (x + -8) = 5x + -1

Reorder the terms:
-30 + 5x + -3 + 3x + (-8 + x) = 5x + -1

Remove parenthesis around (-8 + x)
-30 + 5x + -3 + 3x + -8 + x = 5x + -1

Reorder the terms:
-30 + -3 + -8 + 5x + 3x + x = 5x + -1

Combine like terms: -30 + -3 = -33
-33 + -8 + 5x + 3x + x = 5x + -1

Combine like terms: -33 + -8 = -41
-41 + 5x + 3x + x = 5x + -1

Combine like terms: 5x + 3x = 8x
-41 + 8x + x = 5x + -1

Combine like terms: 8x + x = 9x
-41 + 9x = 5x + -1

Reorder the terms:
-41 + 9x = -1 + 5x

Solving
-41 + 9x = -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.
-41 + 9x + -5x = -1 + 5x + -5x

Combine like terms: 9x + -5x = 4x
-41 + 4x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-41 + 4x = -1 + 0
-41 + 4x = -1

Add '41' to each side of the equation.
-41 + 41 + 4x = -1 + 41

Combine like terms: -41 + 41 = 0
0 + 4x = -1 + 41
4x = -1 + 41

Combine like terms: -1 + 41 = 40
4x = 40

Divide each side by '4'.
x = 10

Simplifying
x = 10

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