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

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


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

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

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

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

Reorder the terms:
-7 + 8x = -7 + x

Add '7' to each side of the equation.
-7 + 7 + 8x = -7 + 7 + x

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

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

Solving
8x = x

Solving for variable 'x'.

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

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

Combine like terms: 8x + -1x = 7x
7x = x + -1x

Combine like terms: x + -1x = 0
7x = 0

Divide each side by '7'.
x = 0

Simplifying
x = 0

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