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

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Solution for 4x+11=2(x-5)+1 equation: 


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

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

Reorder the terms:
11 + 4x = 2(-5 + x) + 1
11 + 4x = (-5 * 2 + x * 2) + 1
11 + 4x = (-10 + 2x) + 1

Reorder the terms:
11 + 4x = -10 + 1 + 2x

Combine like terms: -10 + 1 = -9
11 + 4x = -9 + 2x

Solving
11 + 4x = -9 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
11 + 4x + -2x = -9 + 2x + -2x

Combine like terms: 4x + -2x = 2x
11 + 2x = -9 + 2x + -2x

Combine like terms: 2x + -2x = 0
11 + 2x = -9 + 0
11 + 2x = -9

Add '-11' to each side of the equation.
11 + -11 + 2x = -9 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = -9 + -11
2x = -9 + -11

Combine like terms: -9 + -11 = -20
2x = -20

Divide each side by '2'.
x = -10

Simplifying
x = -10

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