4(4x-2)+5x=30-x

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Solution for 4(4x-2)+5x=30-x equation:


Simplifying
4(4x + -2) + 5x = 30 + -1x

Reorder the terms:
4(-2 + 4x) + 5x = 30 + -1x
(-2 * 4 + 4x * 4) + 5x = 30 + -1x
(-8 + 16x) + 5x = 30 + -1x

Combine like terms: 16x + 5x = 21x
-8 + 21x = 30 + -1x

Solving
-8 + 21x = 30 + -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.
-8 + 21x + x = 30 + -1x + x

Combine like terms: 21x + x = 22x
-8 + 22x = 30 + -1x + x

Combine like terms: -1x + x = 0
-8 + 22x = 30 + 0
-8 + 22x = 30

Add '8' to each side of the equation.
-8 + 8 + 22x = 30 + 8

Combine like terms: -8 + 8 = 0
0 + 22x = 30 + 8
22x = 30 + 8

Combine like terms: 30 + 8 = 38
22x = 38

Divide each side by '22'.
x = 1.727272727

Simplifying
x = 1.727272727

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