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

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


Simplifying
2(4 + 7x) + -3(8x + -1) = 1
(4 * 2 + 7x * 2) + -3(8x + -1) = 1
(8 + 14x) + -3(8x + -1) = 1

Reorder the terms:
8 + 14x + -3(-1 + 8x) = 1
8 + 14x + (-1 * -3 + 8x * -3) = 1
8 + 14x + (3 + -24x) = 1

Reorder the terms:
8 + 3 + 14x + -24x = 1

Combine like terms: 8 + 3 = 11
11 + 14x + -24x = 1

Combine like terms: 14x + -24x = -10x
11 + -10x = 1

Solving
11 + -10x = 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 + -10x = 1 + -11

Combine like terms: 11 + -11 = 0
0 + -10x = 1 + -11
-10x = 1 + -11

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

Divide each side by '-10'.
x = 1

Simplifying
x = 1

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