x-4(x-7)=8x+4

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


Simplifying
x + -4(x + -7) = 8x + 4

Reorder the terms:
x + -4(-7 + x) = 8x + 4
x + (-7 * -4 + x * -4) = 8x + 4
x + (28 + -4x) = 8x + 4

Reorder the terms:
28 + x + -4x = 8x + 4

Combine like terms: x + -4x = -3x
28 + -3x = 8x + 4

Reorder the terms:
28 + -3x = 4 + 8x

Solving
28 + -3x = 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.
28 + -3x + -8x = 4 + 8x + -8x

Combine like terms: -3x + -8x = -11x
28 + -11x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
28 + -11x = 4 + 0
28 + -11x = 4

Add '-28' to each side of the equation.
28 + -28 + -11x = 4 + -28

Combine like terms: 28 + -28 = 0
0 + -11x = 4 + -28
-11x = 4 + -28

Combine like terms: 4 + -28 = -24
-11x = -24

Divide each side by '-11'.
x = 2.181818182

Simplifying
x = 2.181818182

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