5x+2(11-4x)=28+x

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Solution for 5x+2(11-4x)=28+x equation:


Simplifying
5x + 2(11 + -4x) = 28 + x
5x + (11 * 2 + -4x * 2) = 28 + x
5x + (22 + -8x) = 28 + x

Reorder the terms:
22 + 5x + -8x = 28 + x

Combine like terms: 5x + -8x = -3x
22 + -3x = 28 + x

Solving
22 + -3x = 28 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
22 + -3x + -1x = 28 + x + -1x

Combine like terms: -3x + -1x = -4x
22 + -4x = 28 + x + -1x

Combine like terms: x + -1x = 0
22 + -4x = 28 + 0
22 + -4x = 28

Add '-22' to each side of the equation.
22 + -22 + -4x = 28 + -22

Combine like terms: 22 + -22 = 0
0 + -4x = 28 + -22
-4x = 28 + -22

Combine like terms: 28 + -22 = 6
-4x = 6

Divide each side by '-4'.
x = -1.5

Simplifying
x = -1.5

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