4x-2(x-5)=6x+11

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Solution for 4x-2(x-5)=6x+11 equation:


Simplifying
4x + -2(x + -5) = 6x + 11

Reorder the terms:
4x + -2(-5 + x) = 6x + 11
4x + (-5 * -2 + x * -2) = 6x + 11
4x + (10 + -2x) = 6x + 11

Reorder the terms:
10 + 4x + -2x = 6x + 11

Combine like terms: 4x + -2x = 2x
10 + 2x = 6x + 11

Reorder the terms:
10 + 2x = 11 + 6x

Solving
10 + 2x = 11 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 2x + -6x = 11 + 6x + -6x

Combine like terms: 2x + -6x = -4x
10 + -4x = 11 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -4x = 11 + 0
10 + -4x = 11

Add '-10' to each side of the equation.
10 + -10 + -4x = 11 + -10

Combine like terms: 10 + -10 = 0
0 + -4x = 11 + -10
-4x = 11 + -10

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

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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