5*(7-2x)+3*(4x-8)=1

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Solution for 5*(7-2x)+3*(4x-8)=1 equation: 


Simplifying
5(7 + -2x) + 3(4x + -8) = 1
(7 * 5 + -2x * 5) + 3(4x + -8) = 1
(35 + -10x) + 3(4x + -8) = 1

Reorder the terms:
35 + -10x + 3(-8 + 4x) = 1
35 + -10x + (-8 * 3 + 4x * 3) = 1
35 + -10x + (-24 + 12x) = 1

Reorder the terms:
35 + -24 + -10x + 12x = 1

Combine like terms: 35 + -24 = 11
11 + -10x + 12x = 1

Combine like terms: -10x + 12x = 2x
11 + 2x = 1

Solving
11 + 2x = 1

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 1 + -11
2x = 1 + -11

Combine like terms: 1 + -11 = -10
2x = -10

Divide each side by '2'.
x = -5

Simplifying
x = -5

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