2(4x-7)=1

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


Simplifying
2(4x + -7) = 1

Reorder the terms:
2(-7 + 4x) = 1
(-7 * 2 + 4x * 2) = 1
(-14 + 8x) = 1

Solving
-14 + 8x = 1

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 8x = 1 + 14

Combine like terms: -14 + 14 = 0
0 + 8x = 1 + 14
8x = 1 + 14

Combine like terms: 1 + 14 = 15
8x = 15

Divide each side by '8'.
x = 1.875

Simplifying
x = 1.875

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