-5(11-4x)+5(7+x)=11x+10x

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Solution for -5(11-4x)+5(7+x)=11x+10x equation:


Simplifying
-5(11 + -4x) + 5(7 + x) = 11x + 10x
(11 * -5 + -4x * -5) + 5(7 + x) = 11x + 10x
(-55 + 20x) + 5(7 + x) = 11x + 10x
-55 + 20x + (7 * 5 + x * 5) = 11x + 10x
-55 + 20x + (35 + 5x) = 11x + 10x

Reorder the terms:
-55 + 35 + 20x + 5x = 11x + 10x

Combine like terms: -55 + 35 = -20
-20 + 20x + 5x = 11x + 10x

Combine like terms: 20x + 5x = 25x
-20 + 25x = 11x + 10x

Combine like terms: 11x + 10x = 21x
-20 + 25x = 21x

Solving
-20 + 25x = 21x

Solving for variable 'x'.

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

Add '-21x' to each side of the equation.
-20 + 25x + -21x = 21x + -21x

Combine like terms: 25x + -21x = 4x
-20 + 4x = 21x + -21x

Combine like terms: 21x + -21x = 0
-20 + 4x = 0

Add '20' to each side of the equation.
-20 + 20 + 4x = 0 + 20

Combine like terms: -20 + 20 = 0
0 + 4x = 0 + 20
4x = 0 + 20

Combine like terms: 0 + 20 = 20
4x = 20

Divide each side by '4'.
x = 5

Simplifying
x = 5

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