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

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


Simplifying
x + -7 + -8(x + -5) + 5(7x + 1) = 0

Reorder the terms:
x + -7 + -8(-5 + x) + 5(7x + 1) = 0
x + -7 + (-5 * -8 + x * -8) + 5(7x + 1) = 0
x + -7 + (40 + -8x) + 5(7x + 1) = 0

Reorder the terms:
x + -7 + 40 + -8x + 5(1 + 7x) = 0
x + -7 + 40 + -8x + (1 * 5 + 7x * 5) = 0
x + -7 + 40 + -8x + (5 + 35x) = 0

Reorder the terms:
-7 + 40 + 5 + x + -8x + 35x = 0

Combine like terms: -7 + 40 = 33
33 + 5 + x + -8x + 35x = 0

Combine like terms: 33 + 5 = 38
38 + x + -8x + 35x = 0

Combine like terms: x + -8x = -7x
38 + -7x + 35x = 0

Combine like terms: -7x + 35x = 28x
38 + 28x = 0

Solving
38 + 28x = 0

Solving for variable 'x'.

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

Add '-38' to each side of the equation.
38 + -38 + 28x = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 28x = 0 + -38
28x = 0 + -38

Combine like terms: 0 + -38 = -38
28x = -38

Divide each side by '28'.
x = -1.357142857

Simplifying
x = -1.357142857

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