10-4(x-5)=11-x

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Solution for 10-4(x-5)=11-x equation:


Simplifying
10 + -4(x + -5) = 11 + -1x

Reorder the terms:
10 + -4(-5 + x) = 11 + -1x
10 + (-5 * -4 + x * -4) = 11 + -1x
10 + (20 + -4x) = 11 + -1x

Combine like terms: 10 + 20 = 30
30 + -4x = 11 + -1x

Solving
30 + -4x = 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.
30 + -4x + x = 11 + -1x + x

Combine like terms: -4x + x = -3x
30 + -3x = 11 + -1x + x

Combine like terms: -1x + x = 0
30 + -3x = 11 + 0
30 + -3x = 11

Add '-30' to each side of the equation.
30 + -30 + -3x = 11 + -30

Combine like terms: 30 + -30 = 0
0 + -3x = 11 + -30
-3x = 11 + -30

Combine like terms: 11 + -30 = -19
-3x = -19

Divide each side by '-3'.
x = 6.333333333

Simplifying
x = 6.333333333

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