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

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


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

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

Reorder the terms:
20 + 4x = 11 + -5x

Solving
20 + 4x = 11 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
20 + 4x + 5x = 11 + -5x + 5x

Combine like terms: 4x + 5x = 9x
20 + 9x = 11 + -5x + 5x

Combine like terms: -5x + 5x = 0
20 + 9x = 11 + 0
20 + 9x = 11

Add '-20' to each side of the equation.
20 + -20 + 9x = 11 + -20

Combine like terms: 20 + -20 = 0
0 + 9x = 11 + -20
9x = 11 + -20

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

Divide each side by '9'.
x = -1

Simplifying
x = -1

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