4(2x-1)=-1(x-11)

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Solution for 4(2x-1)=-1(x-11) equation:


Simplifying
4(2x + -1) = -1(x + -11)

Reorder the terms:
4(-1 + 2x) = -1(x + -11)
(-1 * 4 + 2x * 4) = -1(x + -11)
(-4 + 8x) = -1(x + -11)

Reorder the terms:
-4 + 8x = -1(-11 + x)
-4 + 8x = (-11 * -1 + x * -1)
-4 + 8x = (11 + -1x)

Solving
-4 + 8x = 11 + -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.
-4 + 8x + x = 11 + -1x + x

Combine like terms: 8x + x = 9x
-4 + 9x = 11 + -1x + x

Combine like terms: -1x + x = 0
-4 + 9x = 11 + 0
-4 + 9x = 11

Add '4' to each side of the equation.
-4 + 4 + 9x = 11 + 4

Combine like terms: -4 + 4 = 0
0 + 9x = 11 + 4
9x = 11 + 4

Combine like terms: 11 + 4 = 15
9x = 15

Divide each side by '9'.
x = 1.666666667

Simplifying
x = 1.666666667

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