x-4(7x-21)=6-(x-4)

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Solution for x-4(7x-21)=6-(x-4) equation:


Simplifying
x + -4(7x + -21) = 6 + -1(x + -4)

Reorder the terms:
x + -4(-21 + 7x) = 6 + -1(x + -4)
x + (-21 * -4 + 7x * -4) = 6 + -1(x + -4)
x + (84 + -28x) = 6 + -1(x + -4)

Reorder the terms:
84 + x + -28x = 6 + -1(x + -4)

Combine like terms: x + -28x = -27x
84 + -27x = 6 + -1(x + -4)

Reorder the terms:
84 + -27x = 6 + -1(-4 + x)
84 + -27x = 6 + (-4 * -1 + x * -1)
84 + -27x = 6 + (4 + -1x)

Combine like terms: 6 + 4 = 10
84 + -27x = 10 + -1x

Solving
84 + -27x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
84 + -27x + x = 10 + -1x + x

Combine like terms: -27x + x = -26x
84 + -26x = 10 + -1x + x

Combine like terms: -1x + x = 0
84 + -26x = 10 + 0
84 + -26x = 10

Add '-84' to each side of the equation.
84 + -84 + -26x = 10 + -84

Combine like terms: 84 + -84 = 0
0 + -26x = 10 + -84
-26x = 10 + -84

Combine like terms: 10 + -84 = -74
-26x = -74

Divide each side by '-26'.
x = 2.846153846

Simplifying
x = 2.846153846

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