7(x-8)+2(x-4)+(x-2)=5x-1

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Solution for 7(x-8)+2(x-4)+(x-2)=5x-1 equation: 


Simplifying
7(x + -8) + 2(x + -4) + (x + -2) = 5x + -1

Reorder the terms:
7(-8 + x) + 2(x + -4) + (x + -2) = 5x + -1
(-8 * 7 + x * 7) + 2(x + -4) + (x + -2) = 5x + -1
(-56 + 7x) + 2(x + -4) + (x + -2) = 5x + -1

Reorder the terms:
-56 + 7x + 2(-4 + x) + (x + -2) = 5x + -1
-56 + 7x + (-4 * 2 + x * 2) + (x + -2) = 5x + -1
-56 + 7x + (-8 + 2x) + (x + -2) = 5x + -1

Reorder the terms:
-56 + 7x + -8 + 2x + (-2 + x) = 5x + -1

Remove parenthesis around (-2 + x)
-56 + 7x + -8 + 2x + -2 + x = 5x + -1

Reorder the terms:
-56 + -8 + -2 + 7x + 2x + x = 5x + -1

Combine like terms: -56 + -8 = -64
-64 + -2 + 7x + 2x + x = 5x + -1

Combine like terms: -64 + -2 = -66
-66 + 7x + 2x + x = 5x + -1

Combine like terms: 7x + 2x = 9x
-66 + 9x + x = 5x + -1

Combine like terms: 9x + x = 10x
-66 + 10x = 5x + -1

Reorder the terms:
-66 + 10x = -1 + 5x

Solving
-66 + 10x = -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.
-66 + 10x + -5x = -1 + 5x + -5x

Combine like terms: 10x + -5x = 5x
-66 + 5x = -1 + 5x + -5x

Combine like terms: 5x + -5x = 0
-66 + 5x = -1 + 0
-66 + 5x = -1

Add '66' to each side of the equation.
-66 + 66 + 5x = -1 + 66

Combine like terms: -66 + 66 = 0
0 + 5x = -1 + 66
5x = -1 + 66

Combine like terms: -1 + 66 = 65
5x = 65

Divide each side by '5'.
x = 13

Simplifying
x = 13

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