2(x-4)=22-6(4x+1)

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Solution for 2(x-4)=22-6(4x+1) equation:


Simplifying
2(x + -4) = 22 + -6(4x + 1)

Reorder the terms:
2(-4 + x) = 22 + -6(4x + 1)
(-4 * 2 + x * 2) = 22 + -6(4x + 1)
(-8 + 2x) = 22 + -6(4x + 1)

Reorder the terms:
-8 + 2x = 22 + -6(1 + 4x)
-8 + 2x = 22 + (1 * -6 + 4x * -6)
-8 + 2x = 22 + (-6 + -24x)

Combine like terms: 22 + -6 = 16
-8 + 2x = 16 + -24x

Solving
-8 + 2x = 16 + -24x

Solving for variable 'x'.

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

Add '24x' to each side of the equation.
-8 + 2x + 24x = 16 + -24x + 24x

Combine like terms: 2x + 24x = 26x
-8 + 26x = 16 + -24x + 24x

Combine like terms: -24x + 24x = 0
-8 + 26x = 16 + 0
-8 + 26x = 16

Add '8' to each side of the equation.
-8 + 8 + 26x = 16 + 8

Combine like terms: -8 + 8 = 0
0 + 26x = 16 + 8
26x = 16 + 8

Combine like terms: 16 + 8 = 24
26x = 24

Divide each side by '26'.
x = 0.9230769231

Simplifying
x = 0.9230769231

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