2x-4(x+5)+10=4x+11

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Solution for 2x-4(x+5)+10=4x+11 equation:


Simplifying
2x + -4(x + 5) + 10 = 4x + 11

Reorder the terms:
2x + -4(5 + x) + 10 = 4x + 11
2x + (5 * -4 + x * -4) + 10 = 4x + 11
2x + (-20 + -4x) + 10 = 4x + 11

Reorder the terms:
-20 + 10 + 2x + -4x = 4x + 11

Combine like terms: -20 + 10 = -10
-10 + 2x + -4x = 4x + 11

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

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

Solving
-10 + -2x = 11 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + -2x + -4x = 11 + 4x + -4x

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

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

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

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

Combine like terms: 11 + 10 = 21
-6x = 21

Divide each side by '-6'.
x = -3.5

Simplifying
x = -3.5

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