(x-4)=4(2x+1)

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


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

Reorder the terms:
(-4 + x) = 4(2x + 1)

Remove parenthesis around (-4 + x)
-4 + x = 4(2x + 1)

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

Solving
-4 + x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-4 + x + -8x = 4 + 8x + -8x

Combine like terms: x + -8x = -7x
-4 + -7x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-4 + -7x = 4 + 0
-4 + -7x = 4

Add '4' to each side of the equation.
-4 + 4 + -7x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + -7x = 4 + 4
-7x = 4 + 4

Combine like terms: 4 + 4 = 8
-7x = 8

Divide each side by '-7'.
x = -1.142857143

Simplifying
x = -1.142857143

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