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

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


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

Reorder the terms:
4(5 + -2x) = 11 + -1x
(5 * 4 + -2x * 4) = 11 + -1x
(20 + -8x) = 11 + -1x

Solving
20 + -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.
20 + -8x + x = 11 + -1x + x

Combine like terms: -8x + x = -7x
20 + -7x = 11 + -1x + x

Combine like terms: -1x + x = 0
20 + -7x = 11 + 0
20 + -7x = 11

Add '-20' to each side of the equation.
20 + -20 + -7x = 11 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = 11 + -20
-7x = 11 + -20

Combine like terms: 11 + -20 = -9
-7x = -9

Divide each side by '-7'.
x = 1.285714286

Simplifying
x = 1.285714286

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