2(x-4)=5-(7x-11)

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Solution for 2(x-4)=5-(7x-11) equation:


Simplifying
2(x + -4) = 5 + -1(7x + -11)

Reorder the terms:
2(-4 + x) = 5 + -1(7x + -11)
(-4 * 2 + x * 2) = 5 + -1(7x + -11)
(-8 + 2x) = 5 + -1(7x + -11)

Reorder the terms:
-8 + 2x = 5 + -1(-11 + 7x)
-8 + 2x = 5 + (-11 * -1 + 7x * -1)
-8 + 2x = 5 + (11 + -7x)

Combine like terms: 5 + 11 = 16
-8 + 2x = 16 + -7x

Solving
-8 + 2x = 16 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-8 + 2x + 7x = 16 + -7x + 7x

Combine like terms: 2x + 7x = 9x
-8 + 9x = 16 + -7x + 7x

Combine like terms: -7x + 7x = 0
-8 + 9x = 16 + 0
-8 + 9x = 16

Add '8' to each side of the equation.
-8 + 8 + 9x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 9x = 16 + 8
9x = 16 + 8

Combine like terms: 16 + 8 = 24
9x = 24

Divide each side by '9'.
x = 2.666666667

Simplifying
x = 2.666666667

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